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Finding the Third Proportional to 1,832,194.69 and 2,695,006.69

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Solution

The third proportional to 1,832,194.69 and 2,695,006.69 is: 3,964,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,194.69 : 2,695,006.69 = 2,695,006.69 : x
  2. Step 2: Convert to fraction form
    1,832,194.69/2,695,006.69 = 2,695,006.69/x
  3. Step 3: Cross multiply
    1,832,194.69x = 2,695,006.69 × 2,695,006.69
  4. Step 4: Simplify right side
    1,832,194.69x = 7,263,061,045,669.72
  5. Step 5: Solve for x
    x = 7,263,061,045,669.72/1,832,194.69
  6. Step 6: Final answer
    x = 3,964,131.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.