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Finding the Third Proportional to 297,502,228 and 642,807,902

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Solution

The third proportional to 297,502,228 and 642,807,902 is: 1,388,903,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502,228 : 642,807,902 = 642,807,902 : x
  2. Step 2: Convert to fraction form
    297,502,228/642,807,902 = 642,807,902/x
  3. Step 3: Cross multiply
    297,502,228x = 642,807,902 × 642,807,902
  4. Step 4: Simplify right side
    297,502,228x = 413,201,998,873,641,600
  5. Step 5: Solve for x
    x = 413,201,998,873,641,600/297,502,228
  6. Step 6: Final answer
    x = 1,388,903,880.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.