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Finding the Third Proportional to 582,538 and 1,246,038

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Solution

The third proportional to 582,538 and 1,246,038 is: 2,665,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,538 : 1,246,038 = 1,246,038 : x
  2. Step 2: Convert to fraction form
    582,538/1,246,038 = 1,246,038/x
  3. Step 3: Cross multiply
    582,538x = 1,246,038 × 1,246,038
  4. Step 4: Simplify right side
    582,538x = 1,552,610,697,444
  5. Step 5: Solve for x
    x = 1,552,610,697,444/582,538
  6. Step 6: Final answer
    x = 2,665,252.22

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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.