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Finding the Third Proportional to 664,642 and 1,441,460

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Solution

The third proportional to 664,642 and 1,441,460 is: 3,126,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,642 : 1,441,460 = 1,441,460 : x
  2. Step 2: Convert to fraction form
    664,642/1,441,460 = 1,441,460/x
  3. Step 3: Cross multiply
    664,642x = 1,441,460 × 1,441,460
  4. Step 4: Simplify right side
    664,642x = 2,077,806,931,600
  5. Step 5: Solve for x
    x = 2,077,806,931,600/664,642
  6. Step 6: Final answer
    x = 3,126,204.68

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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.