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Finding the Third Proportional to 1,141,950.38 and 1,606,701.76

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Solution

The third proportional to 1,141,950.38 and 1,606,701.76 is: 2,260,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,950.38 : 1,606,701.76 = 1,606,701.76 : x
  2. Step 2: Convert to fraction form
    1,141,950.38/1,606,701.76 = 1,606,701.76/x
  3. Step 3: Cross multiply
    1,141,950.38x = 1,606,701.76 × 1,606,701.76
  4. Step 4: Simplify right side
    1,141,950.38x = 2,581,490,551,110.30
  5. Step 5: Solve for x
    x = 2,581,490,551,110.30/1,141,950.38
  6. Step 6: Final answer
    x = 2,260,597.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.