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Finding the Third Proportional to 1,981,948 and 4,342,544

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Solution

The third proportional to 1,981,948 and 4,342,544 is: 9,514,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981,948 : 4,342,544 = 4,342,544 : x
  2. Step 2: Convert to fraction form
    1,981,948/4,342,544 = 4,342,544/x
  3. Step 3: Cross multiply
    1,981,948x = 4,342,544 × 4,342,544
  4. Step 4: Simplify right side
    1,981,948x = 18,857,688,391,936
  5. Step 5: Solve for x
    x = 18,857,688,391,936/1,981,948
  6. Step 6: Final answer
    x = 9,514,724.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.