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Finding the Third Proportional to 582,098 and 1,249,244

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Solution

The third proportional to 582,098 and 1,249,244 is: 2,681,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,098 : 1,249,244 = 1,249,244 : x
  2. Step 2: Convert to fraction form
    582,098/1,249,244 = 1,249,244/x
  3. Step 3: Cross multiply
    582,098x = 1,249,244 × 1,249,244
  4. Step 4: Simplify right side
    582,098x = 1,560,610,571,536
  5. Step 5: Solve for x
    x = 1,560,610,571,536/582,098
  6. Step 6: Final answer
    x = 2,681,010.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.