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Finding the Third Proportional to 1,355,627.81 and 1,981,487.81

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Solution

The third proportional to 1,355,627.81 and 1,981,487.81 is: 2,896,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,627.81 : 1,981,487.81 = 1,981,487.81 : x
  2. Step 2: Convert to fraction form
    1,355,627.81/1,981,487.81 = 1,981,487.81/x
  3. Step 3: Cross multiply
    1,355,627.81x = 1,981,487.81 × 1,981,487.81
  4. Step 4: Simplify right side
    1,355,627.81x = 3,926,293,951,086.04
  5. Step 5: Solve for x
    x = 3,926,293,951,086.04/1,355,627.81
  6. Step 6: Final answer
    x = 2,896,291.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.