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Finding the Third Proportional to 653,411.81 and 1,406,944.69

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Solution

The third proportional to 653,411.81 and 1,406,944.69 is: 3,029,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,411.81 : 1,406,944.69 = 1,406,944.69 : x
  2. Step 2: Convert to fraction form
    653,411.81/1,406,944.69 = 1,406,944.69/x
  3. Step 3: Cross multiply
    653,411.81x = 1,406,944.69 × 1,406,944.69
  4. Step 4: Simplify right side
    653,411.81x = 1,979,493,353,684.47
  5. Step 5: Solve for x
    x = 1,979,493,353,684.47/653,411.81
  6. Step 6: Final answer
    x = 3,029,472.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.