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Finding the Third Proportional to 610,866 and 934,443

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Solution

The third proportional to 610,866 and 934,443 is: 1,429,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,866 : 934,443 = 934,443 : x
  2. Step 2: Convert to fraction form
    610,866/934,443 = 934,443/x
  3. Step 3: Cross multiply
    610,866x = 934,443 × 934,443
  4. Step 4: Simplify right side
    610,866x = 873,183,720,249
  5. Step 5: Solve for x
    x = 873,183,720,249/610,866
  6. Step 6: Final answer
    x = 1,429,419.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.