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Finding the Third Proportional to 384,637 and 843,082

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Solution

The third proportional to 384,637 and 843,082 is: 1,847,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,637 : 843,082 = 843,082 : x
  2. Step 2: Convert to fraction form
    384,637/843,082 = 843,082/x
  3. Step 3: Cross multiply
    384,637x = 843,082 × 843,082
  4. Step 4: Simplify right side
    384,637x = 710,787,258,724
  5. Step 5: Solve for x
    x = 710,787,258,724/384,637
  6. Step 6: Final answer
    x = 1,847,943.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.