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Finding the Third Proportional to 1,018,686.38 and 1,378,561.78

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Solution

The third proportional to 1,018,686.38 and 1,378,561.78 is: 1,865,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,686.38 : 1,378,561.78 = 1,378,561.78 : x
  2. Step 2: Convert to fraction form
    1,018,686.38/1,378,561.78 = 1,378,561.78/x
  3. Step 3: Cross multiply
    1,018,686.38x = 1,378,561.78 × 1,378,561.78
  4. Step 4: Simplify right side
    1,018,686.38x = 1,900,432,584,723.17
  5. Step 5: Solve for x
    x = 1,900,432,584,723.17/1,018,686.38
  6. Step 6: Final answer
    x = 1,865,571.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.