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Finding the Third Proportional to 581,999 and 1,255,743

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Solution

The third proportional to 581,999 and 1,255,743 is: 2,709,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,999 : 1,255,743 = 1,255,743 : x
  2. Step 2: Convert to fraction form
    581,999/1,255,743 = 1,255,743/x
  3. Step 3: Cross multiply
    581,999x = 1,255,743 × 1,255,743
  4. Step 4: Simplify right side
    581,999x = 1,576,890,482,049
  5. Step 5: Solve for x
    x = 1,576,890,482,049/581,999
  6. Step 6: Final answer
    x = 2,709,438.47

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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.