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Finding the Third Proportional to 582,314 and 1,234,609

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Solution

The third proportional to 582,314 and 1,234,609 is: 2,617,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,314 : 1,234,609 = 1,234,609 : x
  2. Step 2: Convert to fraction form
    582,314/1,234,609 = 1,234,609/x
  3. Step 3: Cross multiply
    582,314x = 1,234,609 × 1,234,609
  4. Step 4: Simplify right side
    582,314x = 1,524,259,382,881
  5. Step 5: Solve for x
    x = 1,524,259,382,881/582,314
  6. Step 6: Final answer
    x = 2,617,590.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.