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Finding the Third Proportional to 473,194.97 and 1,032,034.78

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Solution

The third proportional to 473,194.97 and 1,032,034.78 is: 2,250,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,194.97 : 1,032,034.78 = 1,032,034.78 : x
  2. Step 2: Convert to fraction form
    473,194.97/1,032,034.78 = 1,032,034.78/x
  3. Step 3: Cross multiply
    473,194.97x = 1,032,034.78 × 1,032,034.78
  4. Step 4: Simplify right side
    473,194.97x = 1,065,095,789,709.74
  5. Step 5: Solve for x
    x = 1,065,095,789,709.74/473,194.97
  6. Step 6: Final answer
    x = 2,250,860.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.