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Finding the Third Proportional to 411,755,746 and 905,127,417

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Solution

The third proportional to 411,755,746 and 905,127,417 is: 1,989,664,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,755,746 : 905,127,417 = 905,127,417 : x
  2. Step 2: Convert to fraction form
    411,755,746/905,127,417 = 905,127,417/x
  3. Step 3: Cross multiply
    411,755,746x = 905,127,417 × 905,127,417
  4. Step 4: Simplify right side
    411,755,746x = 819,255,641,005,091,840
  5. Step 5: Solve for x
    x = 819,255,641,005,091,840/411,755,746
  6. Step 6: Final answer
    x = 1,989,664,136.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.