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Finding the Third Proportional to 518,564 and 1,125,688

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Solution

The third proportional to 518,564 and 1,125,688 is: 2,443,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,564 : 1,125,688 = 1,125,688 : x
  2. Step 2: Convert to fraction form
    518,564/1,125,688 = 1,125,688/x
  3. Step 3: Cross multiply
    518,564x = 1,125,688 × 1,125,688
  4. Step 4: Simplify right side
    518,564x = 1,267,173,473,344
  5. Step 5: Solve for x
    x = 1,267,173,473,344/518,564
  6. Step 6: Final answer
    x = 2,443,620.22

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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.