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Finding the Third Proportional to 732,314 and 1,586,424

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Solution

The third proportional to 732,314 and 1,586,424 is: 3,436,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,314 : 1,586,424 = 1,586,424 : x
  2. Step 2: Convert to fraction form
    732,314/1,586,424 = 1,586,424/x
  3. Step 3: Cross multiply
    732,314x = 1,586,424 × 1,586,424
  4. Step 4: Simplify right side
    732,314x = 2,516,741,107,776
  5. Step 5: Solve for x
    x = 2,516,741,107,776/732,314
  6. Step 6: Final answer
    x = 3,436,696.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.