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Finding the Third Proportional to 865,824.19 and 1,331,951.34

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Solution

The third proportional to 865,824.19 and 1,331,951.34 is: 2,049,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,824.19 : 1,331,951.34 = 1,331,951.34 : x
  2. Step 2: Convert to fraction form
    865,824.19/1,331,951.34 = 1,331,951.34/x
  3. Step 3: Cross multiply
    865,824.19x = 1,331,951.34 × 1,331,951.34
  4. Step 4: Simplify right side
    865,824.19x = 1,774,094,382,117.43
  5. Step 5: Solve for x
    x = 1,774,094,382,117.43/865,824.19
  6. Step 6: Final answer
    x = 2,049,023.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.