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Finding the Third Proportional to 413,732,898 and 877,900,230

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Solution

The third proportional to 413,732,898 and 877,900,230 is: 1,862,817,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732,898 : 877,900,230 = 877,900,230 : x
  2. Step 2: Convert to fraction form
    413,732,898/877,900,230 = 877,900,230/x
  3. Step 3: Cross multiply
    413,732,898x = 877,900,230 × 877,900,230
  4. Step 4: Simplify right side
    413,732,898x = 770,708,813,834,052,864
  5. Step 5: Solve for x
    x = 770,708,813,834,052,864/413,732,898
  6. Step 6: Final answer
    x = 1,862,817,333.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.