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Finding the Third Proportional to 1,010,687.63 and 2,191,348.69

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Solution

The third proportional to 1,010,687.63 and 2,191,348.69 is: 4,751,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,687.63 : 2,191,348.69 = 2,191,348.69 : x
  2. Step 2: Convert to fraction form
    1,010,687.63/2,191,348.69 = 2,191,348.69/x
  3. Step 3: Cross multiply
    1,010,687.63x = 2,191,348.69 × 2,191,348.69
  4. Step 4: Simplify right side
    1,010,687.63x = 4,802,009,070,207.97
  5. Step 5: Solve for x
    x = 4,802,009,070,207.97/1,010,687.63
  6. Step 6: Final answer
    x = 4,751,229.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.