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Finding the Third Proportional to 518,769 and 1,117,566

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Solution

The third proportional to 518,769 and 1,117,566 is: 2,407,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,769 : 1,117,566 = 1,117,566 : x
  2. Step 2: Convert to fraction form
    518,769/1,117,566 = 1,117,566/x
  3. Step 3: Cross multiply
    518,769x = 1,117,566 × 1,117,566
  4. Step 4: Simplify right side
    518,769x = 1,248,953,764,356
  5. Step 5: Solve for x
    x = 1,248,953,764,356/518,769
  6. Step 6: Final answer
    x = 2,407,533.53

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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.