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Finding the Third Proportional to 616,066 and 1,337,540

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Solution

The third proportional to 616,066 and 1,337,540 is: 2,903,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,066 : 1,337,540 = 1,337,540 : x
  2. Step 2: Convert to fraction form
    616,066/1,337,540 = 1,337,540/x
  3. Step 3: Cross multiply
    616,066x = 1,337,540 × 1,337,540
  4. Step 4: Simplify right side
    616,066x = 1,789,013,251,600
  5. Step 5: Solve for x
    x = 1,789,013,251,600/616,066
  6. Step 6: Final answer
    x = 2,903,931.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.