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Finding the Third Proportional to 687,504.38 and 1,480,325.63

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Solution

The third proportional to 687,504.38 and 1,480,325.63 is: 3,187,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,504.38 : 1,480,325.63 = 1,480,325.63 : x
  2. Step 2: Convert to fraction form
    687,504.38/1,480,325.63 = 1,480,325.63/x
  3. Step 3: Cross multiply
    687,504.38x = 1,480,325.63 × 1,480,325.63
  4. Step 4: Simplify right side
    687,504.38x = 2,191,363,956,031.64
  5. Step 5: Solve for x
    x = 2,191,363,956,031.64/687,504.38
  6. Step 6: Final answer
    x = 3,187,418.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.