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Finding the Third Proportional to 582,410 and 1,245,785

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Solution

The third proportional to 582,410 and 1,245,785 is: 2,664,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,410 : 1,245,785 = 1,245,785 : x
  2. Step 2: Convert to fraction form
    582,410/1,245,785 = 1,245,785/x
  3. Step 3: Cross multiply
    582,410x = 1,245,785 × 1,245,785
  4. Step 4: Simplify right side
    582,410x = 1,551,980,266,225
  5. Step 5: Solve for x
    x = 1,551,980,266,225/582,410
  6. Step 6: Final answer
    x = 2,664,755.53

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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.