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Finding the Third Proportional to 843,186 and 1,840,464

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Solution

The third proportional to 843,186 and 1,840,464 is: 4,017,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,186 : 1,840,464 = 1,840,464 : x
  2. Step 2: Convert to fraction form
    843,186/1,840,464 = 1,840,464/x
  3. Step 3: Cross multiply
    843,186x = 1,840,464 × 1,840,464
  4. Step 4: Simplify right side
    843,186x = 3,387,307,735,296
  5. Step 5: Solve for x
    x = 3,387,307,735,296/843,186
  6. Step 6: Final answer
    x = 4,017,272.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.