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Finding the Third Proportional to 501,472 and 1,044,416

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Solution

The third proportional to 501,472 and 1,044,416 is: 2,175,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,472 : 1,044,416 = 1,044,416 : x
  2. Step 2: Convert to fraction form
    501,472/1,044,416 = 1,044,416/x
  3. Step 3: Cross multiply
    501,472x = 1,044,416 × 1,044,416
  4. Step 4: Simplify right side
    501,472x = 1,090,804,781,056
  5. Step 5: Solve for x
    x = 1,090,804,781,056/501,472
  6. Step 6: Final answer
    x = 2,175,205.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.