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Finding the Third Proportional to 2,354,416 and 5,081,864

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Solution

The third proportional to 2,354,416 and 5,081,864 is: 10,968,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,416 : 5,081,864 = 5,081,864 : x
  2. Step 2: Convert to fraction form
    2,354,416/5,081,864 = 5,081,864/x
  3. Step 3: Cross multiply
    2,354,416x = 5,081,864 × 5,081,864
  4. Step 4: Simplify right side
    2,354,416x = 25,825,341,714,496
  5. Step 5: Solve for x
    x = 25,825,341,714,496/2,354,416
  6. Step 6: Final answer
    x = 10,968,894.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.