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Finding the Third Proportional to 865,744 and 1,879,346

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Solution

The third proportional to 865,744 and 1,879,346 is: 4,079,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,744 : 1,879,346 = 1,879,346 : x
  2. Step 2: Convert to fraction form
    865,744/1,879,346 = 1,879,346/x
  3. Step 3: Cross multiply
    865,744x = 1,879,346 × 1,879,346
  4. Step 4: Simplify right side
    865,744x = 3,531,941,387,716
  5. Step 5: Solve for x
    x = 3,531,941,387,716/865,744
  6. Step 6: Final answer
    x = 4,079,660.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.