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Finding the Third Proportional to 406,825.88 and 874,864.13

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Solution

The third proportional to 406,825.88 and 874,864.13 is: 1,881,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,825.88 : 874,864.13 = 874,864.13 : x
  2. Step 2: Convert to fraction form
    406,825.88/874,864.13 = 874,864.13/x
  3. Step 3: Cross multiply
    406,825.88x = 874,864.13 × 874,864.13
  4. Step 4: Simplify right side
    406,825.88x = 765,387,237,212.02
  5. Step 5: Solve for x
    x = 765,387,237,212.02/406,825.88
  6. Step 6: Final answer
    x = 1,881,363.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.