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Finding the Third Proportional to 869,535 and 1,858,474.13

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Solution

The third proportional to 869,535 and 1,858,474.13 is: 3,972,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,535 : 1,858,474.13 = 1,858,474.13 : x
  2. Step 2: Convert to fraction form
    869,535/1,858,474.13 = 1,858,474.13/x
  3. Step 3: Cross multiply
    869,535x = 1,858,474.13 × 1,858,474.13
  4. Step 4: Simplify right side
    869,535x = 3,453,926,073,294.52
  5. Step 5: Solve for x
    x = 3,453,926,073,294.52/869,535
  6. Step 6: Final answer
    x = 3,972,153.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.