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Finding the Third Proportional to 402,794,932 and 621,985,820

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Solution

The third proportional to 402,794,932 and 621,985,820 is: 960,454,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,794,932 : 621,985,820 = 621,985,820 : x
  2. Step 2: Convert to fraction form
    402,794,932/621,985,820 = 621,985,820/x
  3. Step 3: Cross multiply
    402,794,932x = 621,985,820 × 621,985,820
  4. Step 4: Simplify right side
    402,794,932x = 386,866,360,281,072,384
  5. Step 5: Solve for x
    x = 386,866,360,281,072,384/402,794,932
  6. Step 6: Final answer
    x = 960,454,885.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.