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Finding the Third Proportional to 843,174 and 1,827,432

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Solution

The third proportional to 843,174 and 1,827,432 is: 3,960,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,174 : 1,827,432 = 1,827,432 : x
  2. Step 2: Convert to fraction form
    843,174/1,827,432 = 1,827,432/x
  3. Step 3: Cross multiply
    843,174x = 1,827,432 × 1,827,432
  4. Step 4: Simplify right side
    843,174x = 3,339,507,714,624
  5. Step 5: Solve for x
    x = 3,339,507,714,624/843,174
  6. Step 6: Final answer
    x = 3,960,638.87

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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.