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Finding the Third Proportional to 486,972 and 748,926

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Solution

The third proportional to 486,972 and 748,926 is: 1,151,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,972 : 748,926 = 748,926 : x
  2. Step 2: Convert to fraction form
    486,972/748,926 = 748,926/x
  3. Step 3: Cross multiply
    486,972x = 748,926 × 748,926
  4. Step 4: Simplify right side
    486,972x = 560,890,153,476
  5. Step 5: Solve for x
    x = 560,890,153,476/486,972
  6. Step 6: Final answer
    x = 1,151,791.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.