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Finding the Third Proportional to 982,374 and 1,467,495

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Solution

The third proportional to 982,374 and 1,467,495 is: 2,192,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,374 : 1,467,495 = 1,467,495 : x
  2. Step 2: Convert to fraction form
    982,374/1,467,495 = 1,467,495/x
  3. Step 3: Cross multiply
    982,374x = 1,467,495 × 1,467,495
  4. Step 4: Simplify right side
    982,374x = 2,153,541,575,025
  5. Step 5: Solve for x
    x = 2,153,541,575,025/982,374
  6. Step 6: Final answer
    x = 2,192,180.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.