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Finding the Third Proportional to 581,962 and 1,255,670

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Solution

The third proportional to 581,962 and 1,255,670 is: 2,709,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,962 : 1,255,670 = 1,255,670 : x
  2. Step 2: Convert to fraction form
    581,962/1,255,670 = 1,255,670/x
  3. Step 3: Cross multiply
    581,962x = 1,255,670 × 1,255,670
  4. Step 4: Simplify right side
    581,962x = 1,576,707,148,900
  5. Step 5: Solve for x
    x = 1,576,707,148,900/581,962
  6. Step 6: Final answer
    x = 2,709,295.71

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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.