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Finding the Third Proportional to 518,562 and 1,125,684

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Solution

The third proportional to 518,562 and 1,125,684 is: 2,443,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,562 : 1,125,684 = 1,125,684 : x
  2. Step 2: Convert to fraction form
    518,562/1,125,684 = 1,125,684/x
  3. Step 3: Cross multiply
    518,562x = 1,125,684 × 1,125,684
  4. Step 4: Simplify right side
    518,562x = 1,267,164,467,856
  5. Step 5: Solve for x
    x = 1,267,164,467,856/518,562
  6. Step 6: Final answer
    x = 2,443,612.27

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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.