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Finding the Third Proportional to 589,344 and 1,272,594

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Solution

The third proportional to 589,344 and 1,272,594 is: 2,747,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,344 : 1,272,594 = 1,272,594 : x
  2. Step 2: Convert to fraction form
    589,344/1,272,594 = 1,272,594/x
  3. Step 3: Cross multiply
    589,344x = 1,272,594 × 1,272,594
  4. Step 4: Simplify right side
    589,344x = 1,619,495,488,836
  5. Step 5: Solve for x
    x = 1,619,495,488,836/589,344
  6. Step 6: Final answer
    x = 2,747,962.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.