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Finding the Third Proportional to 578,275 and 1,253,083

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Solution

The third proportional to 578,275 and 1,253,083 is: 2,715,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,275 : 1,253,083 = 1,253,083 : x
  2. Step 2: Convert to fraction form
    578,275/1,253,083 = 1,253,083/x
  3. Step 3: Cross multiply
    578,275x = 1,253,083 × 1,253,083
  4. Step 4: Simplify right side
    578,275x = 1,570,217,004,889
  5. Step 5: Solve for x
    x = 1,570,217,004,889/578,275
  6. Step 6: Final answer
    x = 2,715,346.51

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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.