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Finding the Third Proportional to 1,023,691.50 and 1,605,723.75

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Solution

The third proportional to 1,023,691.50 and 1,605,723.75 is: 2,518,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,691.50 : 1,605,723.75 = 1,605,723.75 : x
  2. Step 2: Convert to fraction form
    1,023,691.50/1,605,723.75 = 1,605,723.75/x
  3. Step 3: Cross multiply
    1,023,691.50x = 1,605,723.75 × 1,605,723.75
  4. Step 4: Simplify right side
    1,023,691.50x = 2,578,348,761,314.06
  5. Step 5: Solve for x
    x = 2,578,348,761,314.06/1,023,691.50
  6. Step 6: Final answer
    x = 2,518,677.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.