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Finding the Third Proportional to 495,259,044 and 744,136,566

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Solution

The third proportional to 495,259,044 and 744,136,566 is: 1,118,079,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,259,044 : 744,136,566 = 744,136,566 : x
  2. Step 2: Convert to fraction form
    495,259,044/744,136,566 = 744,136,566/x
  3. Step 3: Cross multiply
    495,259,044x = 744,136,566 × 744,136,566
  4. Step 4: Simplify right side
    495,259,044x = 553,739,228,858,272,384
  5. Step 5: Solve for x
    x = 553,739,228,858,272,384/495,259,044
  6. Step 6: Final answer
    x = 1,118,079,993.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.