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Finding the Third Proportional to 578,260 and 1,253,051

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Solution

The third proportional to 578,260 and 1,253,051 is: 2,715,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,260 : 1,253,051 = 1,253,051 : x
  2. Step 2: Convert to fraction form
    578,260/1,253,051 = 1,253,051/x
  3. Step 3: Cross multiply
    578,260x = 1,253,051 × 1,253,051
  4. Step 4: Simplify right side
    578,260x = 1,570,136,808,601
  5. Step 5: Solve for x
    x = 1,570,136,808,601/578,260
  6. Step 6: Final answer
    x = 2,715,278.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.