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Finding the Third Proportional to 852,802.17 and 1,288,065.80

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Solution

The third proportional to 852,802.17 and 1,288,065.80 is: 1,945,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,802.17 : 1,288,065.80 = 1,288,065.80 : x
  2. Step 2: Convert to fraction form
    852,802.17/1,288,065.80 = 1,288,065.80/x
  3. Step 3: Cross multiply
    852,802.17x = 1,288,065.80 × 1,288,065.80
  4. Step 4: Simplify right side
    852,802.17x = 1,659,113,497,079.23
  5. Step 5: Solve for x
    x = 1,659,113,497,079.23/852,802.17
  6. Step 6: Final answer
    x = 1,945,484.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.