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Finding the Third Proportional to 1,052,551.13 and 1,376,416.13

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Solution

The third proportional to 1,052,551.13 and 1,376,416.13 is: 1,799,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,551.13 : 1,376,416.13 = 1,376,416.13 : x
  2. Step 2: Convert to fraction form
    1,052,551.13/1,376,416.13 = 1,376,416.13/x
  3. Step 3: Cross multiply
    1,052,551.13x = 1,376,416.13 × 1,376,416.13
  4. Step 4: Simplify right side
    1,052,551.13x = 1,894,521,349,160.02
  5. Step 5: Solve for x
    x = 1,894,521,349,160.02/1,052,551.13
  6. Step 6: Final answer
    x = 1,799,932.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.