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Finding the Third Proportional to 713,121 and 1,566,192

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Solution

The third proportional to 713,121 and 1,566,192 is: 3,439,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,121 : 1,566,192 = 1,566,192 : x
  2. Step 2: Convert to fraction form
    713,121/1,566,192 = 1,566,192/x
  3. Step 3: Cross multiply
    713,121x = 1,566,192 × 1,566,192
  4. Step 4: Simplify right side
    713,121x = 2,452,957,380,864
  5. Step 5: Solve for x
    x = 2,452,957,380,864/713,121
  6. Step 6: Final answer
    x = 3,439,749.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.