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Finding the Third Proportional to 581,344 and 1,280,048

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Solution

The third proportional to 581,344 and 1,280,048 is: 2,818,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,344 : 1,280,048 = 1,280,048 : x
  2. Step 2: Convert to fraction form
    581,344/1,280,048 = 1,280,048/x
  3. Step 3: Cross multiply
    581,344x = 1,280,048 × 1,280,048
  4. Step 4: Simplify right side
    581,344x = 1,638,522,882,304
  5. Step 5: Solve for x
    x = 1,638,522,882,304/581,344
  6. Step 6: Final answer
    x = 2,818,508.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.