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Finding the Third Proportional to 601,666 and 902,617

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Solution

The third proportional to 601,666 and 902,617 is: 1,354,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,666 : 902,617 = 902,617 : x
  2. Step 2: Convert to fraction form
    601,666/902,617 = 902,617/x
  3. Step 3: Cross multiply
    601,666x = 902,617 × 902,617
  4. Step 4: Simplify right side
    601,666x = 814,717,448,689
  5. Step 5: Solve for x
    x = 814,717,448,689/601,666
  6. Step 6: Final answer
    x = 1,354,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.