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Finding the Third Proportional to 569,754 and 1,215,781.31

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Solution

The third proportional to 569,754 and 1,215,781.31 is: 2,594,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,754 : 1,215,781.31 = 1,215,781.31 : x
  2. Step 2: Convert to fraction form
    569,754/1,215,781.31 = 1,215,781.31/x
  3. Step 3: Cross multiply
    569,754x = 1,215,781.31 × 1,215,781.31
  4. Step 4: Simplify right side
    569,754x = 1,478,124,199,824.22
  5. Step 5: Solve for x
    x = 1,478,124,199,824.22/569,754
  6. Step 6: Final answer
    x = 2,594,320.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.