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Finding the Third Proportional to 732,042 and 1,342,584

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Solution

The third proportional to 732,042 and 1,342,584 is: 2,462,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,042 : 1,342,584 = 1,342,584 : x
  2. Step 2: Convert to fraction form
    732,042/1,342,584 = 1,342,584/x
  3. Step 3: Cross multiply
    732,042x = 1,342,584 × 1,342,584
  4. Step 4: Simplify right side
    732,042x = 1,802,531,797,056
  5. Step 5: Solve for x
    x = 1,802,531,797,056/732,042
  6. Step 6: Final answer
    x = 2,462,333.85

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.