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Finding the Third Proportional to 1,876,189.71 and 4,096,466.71

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Solution

The third proportional to 1,876,189.71 and 4,096,466.71 is: 8,944,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876,189.71 : 4,096,466.71 = 4,096,466.71 : x
  2. Step 2: Convert to fraction form
    1,876,189.71/4,096,466.71 = 4,096,466.71/x
  3. Step 3: Cross multiply
    1,876,189.71x = 4,096,466.71 × 4,096,466.71
  4. Step 4: Simplify right side
    1,876,189.71x = 16,781,039,505,820.34
  5. Step 5: Solve for x
    x = 16,781,039,505,820.34/1,876,189.71
  6. Step 6: Final answer
    x = 8,944,212.52

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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.