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Finding the Third Proportional to 581,676 and 1,230,418

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Solution

The third proportional to 581,676 and 1,230,418 is: 2,602,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,676 : 1,230,418 = 1,230,418 : x
  2. Step 2: Convert to fraction form
    581,676/1,230,418 = 1,230,418/x
  3. Step 3: Cross multiply
    581,676x = 1,230,418 × 1,230,418
  4. Step 4: Simplify right side
    581,676x = 1,513,928,454,724
  5. Step 5: Solve for x
    x = 1,513,928,454,724/581,676
  6. Step 6: Final answer
    x = 2,602,700.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.