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Finding the Third Proportional to 456,484 and 1,017,872

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Solution

The third proportional to 456,484 and 1,017,872 is: 2,269,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,484 : 1,017,872 = 1,017,872 : x
  2. Step 2: Convert to fraction form
    456,484/1,017,872 = 1,017,872/x
  3. Step 3: Cross multiply
    456,484x = 1,017,872 × 1,017,872
  4. Step 4: Simplify right side
    456,484x = 1,036,063,408,384
  5. Step 5: Solve for x
    x = 1,036,063,408,384/456,484
  6. Step 6: Final answer
    x = 2,269,659.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.