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Finding the Third Proportional to 843,164 and 1,827,412

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Solution

The third proportional to 843,164 and 1,827,412 is: 3,960,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,164 : 1,827,412 = 1,827,412 : x
  2. Step 2: Convert to fraction form
    843,164/1,827,412 = 1,827,412/x
  3. Step 3: Cross multiply
    843,164x = 1,827,412 × 1,827,412
  4. Step 4: Simplify right side
    843,164x = 3,339,434,617,744
  5. Step 5: Solve for x
    x = 3,339,434,617,744/843,164
  6. Step 6: Final answer
    x = 3,960,599.15

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