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Finding the Third Proportional to 981,226.41 and 1,439,547.19

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Solution

The third proportional to 981,226.41 and 1,439,547.19 is: 2,111,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,226.41 : 1,439,547.19 = 1,439,547.19 : x
  2. Step 2: Convert to fraction form
    981,226.41/1,439,547.19 = 1,439,547.19/x
  3. Step 3: Cross multiply
    981,226.41x = 1,439,547.19 × 1,439,547.19
  4. Step 4: Simplify right side
    981,226.41x = 2,072,296,105,039.16
  5. Step 5: Solve for x
    x = 2,072,296,105,039.16/981,226.41
  6. Step 6: Final answer
    x = 2,111,944.90

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Why These Related Problems?

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