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Finding the Third Proportional to 616,064 and 1,337,536

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Solution

The third proportional to 616,064 and 1,337,536 is: 2,903,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,064 : 1,337,536 = 1,337,536 : x
  2. Step 2: Convert to fraction form
    616,064/1,337,536 = 1,337,536/x
  3. Step 3: Cross multiply
    616,064x = 1,337,536 × 1,337,536
  4. Step 4: Simplify right side
    616,064x = 1,789,002,551,296
  5. Step 5: Solve for x
    x = 1,789,002,551,296/616,064
  6. Step 6: Final answer
    x = 2,903,923.21

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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.