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Finding the Third Proportional to 581,427 and 1,246,932

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Solution

The third proportional to 581,427 and 1,246,932 is: 2,674,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,427 : 1,246,932 = 1,246,932 : x
  2. Step 2: Convert to fraction form
    581,427/1,246,932 = 1,246,932/x
  3. Step 3: Cross multiply
    581,427x = 1,246,932 × 1,246,932
  4. Step 4: Simplify right side
    581,427x = 1,554,839,412,624
  5. Step 5: Solve for x
    x = 1,554,839,412,624/581,427
  6. Step 6: Final answer
    x = 2,674,178.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.