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Finding the Third Proportional to 981,216 and 1,439,514

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Solution

The third proportional to 981,216 and 1,439,514 is: 2,111,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,216 : 1,439,514 = 1,439,514 : x
  2. Step 2: Convert to fraction form
    981,216/1,439,514 = 1,439,514/x
  3. Step 3: Cross multiply
    981,216x = 1,439,514 × 1,439,514
  4. Step 4: Simplify right side
    981,216x = 2,072,200,556,196
  5. Step 5: Solve for x
    x = 2,072,200,556,196/981,216
  6. Step 6: Final answer
    x = 2,111,869.92

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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.