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Finding the Third Proportional to 516,619.13 and 1,094,695.88

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Solution

The third proportional to 516,619.13 and 1,094,695.88 is: 2,319,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,619.13 : 1,094,695.88 = 1,094,695.88 : x
  2. Step 2: Convert to fraction form
    516,619.13/1,094,695.88 = 1,094,695.88/x
  3. Step 3: Cross multiply
    516,619.13x = 1,094,695.88 × 1,094,695.88
  4. Step 4: Simplify right side
    516,619.13x = 1,198,359,058,742.02
  5. Step 5: Solve for x
    x = 1,198,359,058,742.02/516,619.13
  6. Step 6: Final answer
    x = 2,319,618.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.