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Finding the Third Proportional to 564,694 and 1,215,895

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Solution

The third proportional to 564,694 and 1,215,895 is: 2,618,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,694 : 1,215,895 = 1,215,895 : x
  2. Step 2: Convert to fraction form
    564,694/1,215,895 = 1,215,895/x
  3. Step 3: Cross multiply
    564,694x = 1,215,895 × 1,215,895
  4. Step 4: Simplify right side
    564,694x = 1,478,400,651,025
  5. Step 5: Solve for x
    x = 1,478,400,651,025/564,694
  6. Step 6: Final answer
    x = 2,618,056.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.