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Finding the Third Proportional to 693,646,775.44 and 1,002,199,766.63

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Solution

The third proportional to 693,646,775.44 and 1,002,199,766.63 is: 1,448,005,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,646,775.44 : 1,002,199,766.63 = 1,002,199,766.63 : x
  2. Step 2: Convert to fraction form
    693,646,775.44/1,002,199,766.63 = 1,002,199,766.63/x
  3. Step 3: Cross multiply
    693,646,775.44x = 1,002,199,766.63 × 1,002,199,766.63
  4. Step 4: Simplify right side
    693,646,775.44x = 1,004,404,372,223,204,480
  5. Step 5: Solve for x
    x = 1,004,404,372,223,204,480/693,646,775.44
  6. Step 6: Final answer
    x = 1,448,005,537.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.