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Finding the Third Proportional to 1,832,982 and 4,024,596

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Solution

The third proportional to 1,832,982 and 4,024,596 is: 8,836,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,982 : 4,024,596 = 4,024,596 : x
  2. Step 2: Convert to fraction form
    1,832,982/4,024,596 = 4,024,596/x
  3. Step 3: Cross multiply
    1,832,982x = 4,024,596 × 4,024,596
  4. Step 4: Simplify right side
    1,832,982x = 16,197,372,963,216
  5. Step 5: Solve for x
    x = 16,197,372,963,216/1,832,982
  6. Step 6: Final answer
    x = 8,836,624.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.