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Finding the Third Proportional to 652,344 and 1,037,812

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Solution

The third proportional to 652,344 and 1,037,812 is: 1,651,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,344 : 1,037,812 = 1,037,812 : x
  2. Step 2: Convert to fraction form
    652,344/1,037,812 = 1,037,812/x
  3. Step 3: Cross multiply
    652,344x = 1,037,812 × 1,037,812
  4. Step 4: Simplify right side
    652,344x = 1,077,053,747,344
  5. Step 5: Solve for x
    x = 1,077,053,747,344/652,344
  6. Step 6: Final answer
    x = 1,651,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.