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Finding the Third Proportional to 669,451 and 1,019,857.50

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Solution

The third proportional to 669,451 and 1,019,857.50 is: 1,553,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,451 : 1,019,857.50 = 1,019,857.50 : x
  2. Step 2: Convert to fraction form
    669,451/1,019,857.50 = 1,019,857.50/x
  3. Step 3: Cross multiply
    669,451x = 1,019,857.50 × 1,019,857.50
  4. Step 4: Simplify right side
    669,451x = 1,040,109,320,306.25
  5. Step 5: Solve for x
    x = 1,040,109,320,306.25/669,451
  6. Step 6: Final answer
    x = 1,553,675.06

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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.