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Finding the Third Proportional to 581,063 and 1,255,493

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Solution

The third proportional to 581,063 and 1,255,493 is: 2,712,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,063 : 1,255,493 = 1,255,493 : x
  2. Step 2: Convert to fraction form
    581,063/1,255,493 = 1,255,493/x
  3. Step 3: Cross multiply
    581,063x = 1,255,493 × 1,255,493
  4. Step 4: Simplify right side
    581,063x = 1,576,262,673,049
  5. Step 5: Solve for x
    x = 1,576,262,673,049/581,063
  6. Step 6: Final answer
    x = 2,712,722.50

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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.