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Finding the Third Proportional to 732,115 and 1,582,671

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Solution

The third proportional to 732,115 and 1,582,671 is: 3,421,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,115 : 1,582,671 = 1,582,671 : x
  2. Step 2: Convert to fraction form
    732,115/1,582,671 = 1,582,671/x
  3. Step 3: Cross multiply
    732,115x = 1,582,671 × 1,582,671
  4. Step 4: Simplify right side
    732,115x = 2,504,847,494,241
  5. Step 5: Solve for x
    x = 2,504,847,494,241/732,115
  6. Step 6: Final answer
    x = 3,421,385.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.