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Finding the Third Proportional to 577,616.91 and 1,288,047.23

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Solution

The third proportional to 577,616.91 and 1,288,047.23 is: 2,872,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,616.91 : 1,288,047.23 = 1,288,047.23 : x
  2. Step 2: Convert to fraction form
    577,616.91/1,288,047.23 = 1,288,047.23/x
  3. Step 3: Cross multiply
    577,616.91x = 1,288,047.23 × 1,288,047.23
  4. Step 4: Simplify right side
    577,616.91x = 1,659,065,677,981.09
  5. Step 5: Solve for x
    x = 1,659,065,677,981.09/577,616.91
  6. Step 6: Final answer
    x = 2,872,259.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.