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Finding the Third Proportional to 1,152,624 and 1,691,568

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Solution

The third proportional to 1,152,624 and 1,691,568 is: 2,482,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,624 : 1,691,568 = 1,691,568 : x
  2. Step 2: Convert to fraction form
    1,152,624/1,691,568 = 1,691,568/x
  3. Step 3: Cross multiply
    1,152,624x = 1,691,568 × 1,691,568
  4. Step 4: Simplify right side
    1,152,624x = 2,861,402,298,624
  5. Step 5: Solve for x
    x = 2,861,402,298,624/1,152,624
  6. Step 6: Final answer
    x = 2,482,511.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.