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Finding the Third Proportional to 587,045 and 1,274,473

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Solution

The third proportional to 587,045 and 1,274,473 is: 2,766,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,045 : 1,274,473 = 1,274,473 : x
  2. Step 2: Convert to fraction form
    587,045/1,274,473 = 1,274,473/x
  3. Step 3: Cross multiply
    587,045x = 1,274,473 × 1,274,473
  4. Step 4: Simplify right side
    587,045x = 1,624,281,427,729
  5. Step 5: Solve for x
    x = 1,624,281,427,729/587,045
  6. Step 6: Final answer
    x = 2,766,877.20

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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.