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Finding the Third Proportional to 541,840 and 843,784

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Solution

The third proportional to 541,840 and 843,784 is: 1,313,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,840 : 843,784 = 843,784 : x
  2. Step 2: Convert to fraction form
    541,840/843,784 = 843,784/x
  3. Step 3: Cross multiply
    541,840x = 843,784 × 843,784
  4. Step 4: Simplify right side
    541,840x = 711,971,438,656
  5. Step 5: Solve for x
    x = 711,971,438,656/541,840
  6. Step 6: Final answer
    x = 1,313,988.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.