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Finding the Third Proportional to 624,486 and 1,473,691

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Solution

The third proportional to 624,486 and 1,473,691 is: 3,477,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,486 : 1,473,691 = 1,473,691 : x
  2. Step 2: Convert to fraction form
    624,486/1,473,691 = 1,473,691/x
  3. Step 3: Cross multiply
    624,486x = 1,473,691 × 1,473,691
  4. Step 4: Simplify right side
    624,486x = 2,171,765,163,481
  5. Step 5: Solve for x
    x = 2,171,765,163,481/624,486
  6. Step 6: Final answer
    x = 3,477,684.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.