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Finding the Third Proportional to 650,578 and 1,015,216

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Solution

The third proportional to 650,578 and 1,015,216 is: 1,584,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578 : 1,015,216 = 1,015,216 : x
  2. Step 2: Convert to fraction form
    650,578/1,015,216 = 1,015,216/x
  3. Step 3: Cross multiply
    650,578x = 1,015,216 × 1,015,216
  4. Step 4: Simplify right side
    650,578x = 1,030,663,526,656
  5. Step 5: Solve for x
    x = 1,030,663,526,656/650,578
  6. Step 6: Final answer
    x = 1,584,227.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.