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Finding the Third Proportional to 693,646,969 and 1,002,200,080

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Solution

The third proportional to 693,646,969 and 1,002,200,080 is: 1,448,006,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,646,969 : 1,002,200,080 = 1,002,200,080 : x
  2. Step 2: Convert to fraction form
    693,646,969/1,002,200,080 = 1,002,200,080/x
  3. Step 3: Cross multiply
    693,646,969x = 1,002,200,080 × 1,002,200,080
  4. Step 4: Simplify right side
    693,646,969x = 1,004,405,000,352,006,400
  5. Step 5: Solve for x
    x = 1,004,405,000,352,006,400/693,646,969
  6. Step 6: Final answer
    x = 1,448,006,039.44

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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.