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Finding the Third Proportional to 569,784 and 1,215,831

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Solution

The third proportional to 569,784 and 1,215,831 is: 2,594,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,784 : 1,215,831 = 1,215,831 : x
  2. Step 2: Convert to fraction form
    569,784/1,215,831 = 1,215,831/x
  3. Step 3: Cross multiply
    569,784x = 1,215,831 × 1,215,831
  4. Step 4: Simplify right side
    569,784x = 1,478,245,020,561
  5. Step 5: Solve for x
    x = 1,478,245,020,561/569,784
  6. Step 6: Final answer
    x = 2,594,395.46

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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.