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Finding the Third Proportional to 582,872 and 926,820

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Solution

The third proportional to 582,872 and 926,820 is: 1,473,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,872 : 926,820 = 926,820 : x
  2. Step 2: Convert to fraction form
    582,872/926,820 = 926,820/x
  3. Step 3: Cross multiply
    582,872x = 926,820 × 926,820
  4. Step 4: Simplify right side
    582,872x = 858,995,312,400
  5. Step 5: Solve for x
    x = 858,995,312,400/582,872
  6. Step 6: Final answer
    x = 1,473,728.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.