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Finding the Third Proportional to 771,342,457 and 1,175,060,537

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Solution

The third proportional to 771,342,457 and 1,175,060,537 is: 1,790,083,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,342,457 : 1,175,060,537 = 1,175,060,537 : x
  2. Step 2: Convert to fraction form
    771,342,457/1,175,060,537 = 1,175,060,537/x
  3. Step 3: Cross multiply
    771,342,457x = 1,175,060,537 × 1,175,060,537
  4. Step 4: Simplify right side
    771,342,457x = 1,380,767,265,614,728,448
  5. Step 5: Solve for x
    x = 1,380,767,265,614,728,448/771,342,457
  6. Step 6: Final answer
    x = 1,790,083,319.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.