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Finding the Third Proportional to 632,376 and 1,370,564

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Solution

The third proportional to 632,376 and 1,370,564 is: 2,970,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,376 : 1,370,564 = 1,370,564 : x
  2. Step 2: Convert to fraction form
    632,376/1,370,564 = 1,370,564/x
  3. Step 3: Cross multiply
    632,376x = 1,370,564 × 1,370,564
  4. Step 4: Simplify right side
    632,376x = 1,878,445,678,096
  5. Step 5: Solve for x
    x = 1,878,445,678,096/632,376
  6. Step 6: Final answer
    x = 2,970,456.94

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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.