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Finding the Third Proportional to 581,812 and 1,234,051

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Solution

The third proportional to 581,812 and 1,234,051 is: 2,617,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,812 : 1,234,051 = 1,234,051 : x
  2. Step 2: Convert to fraction form
    581,812/1,234,051 = 1,234,051/x
  3. Step 3: Cross multiply
    581,812x = 1,234,051 × 1,234,051
  4. Step 4: Simplify right side
    581,812x = 1,522,881,870,601
  5. Step 5: Solve for x
    x = 1,522,881,870,601/581,812
  6. Step 6: Final answer
    x = 2,617,481.03

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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.