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Finding the Third Proportional to 869,208 and 1,344,741

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Solution

The third proportional to 869,208 and 1,344,741 is: 2,080,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,208 : 1,344,741 = 1,344,741 : x
  2. Step 2: Convert to fraction form
    869,208/1,344,741 = 1,344,741/x
  3. Step 3: Cross multiply
    869,208x = 1,344,741 × 1,344,741
  4. Step 4: Simplify right side
    869,208x = 1,808,328,357,081
  5. Step 5: Solve for x
    x = 1,808,328,357,081/869,208
  6. Step 6: Final answer
    x = 2,080,432.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.