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Finding the Third Proportional to 616,574 and 1,337,962

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Solution

The third proportional to 616,574 and 1,337,962 is: 2,903,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,574 : 1,337,962 = 1,337,962 : x
  2. Step 2: Convert to fraction form
    616,574/1,337,962 = 1,337,962/x
  3. Step 3: Cross multiply
    616,574x = 1,337,962 × 1,337,962
  4. Step 4: Simplify right side
    616,574x = 1,790,142,313,444
  5. Step 5: Solve for x
    x = 1,790,142,313,444/616,574
  6. Step 6: Final answer
    x = 2,903,369.77

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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.