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Finding the Third Proportional to 601,856 and 914,604

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Solution

The third proportional to 601,856 and 914,604 is: 1,389,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,856 : 914,604 = 914,604 : x
  2. Step 2: Convert to fraction form
    601,856/914,604 = 914,604/x
  3. Step 3: Cross multiply
    601,856x = 914,604 × 914,604
  4. Step 4: Simplify right side
    601,856x = 836,500,476,816
  5. Step 5: Solve for x
    x = 836,500,476,816/601,856
  6. Step 6: Final answer
    x = 1,389,868.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.