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Finding the Third Proportional to 384,948 and 837,624

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Solution

The third proportional to 384,948 and 837,624 is: 1,822,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,948 : 837,624 = 837,624 : x
  2. Step 2: Convert to fraction form
    384,948/837,624 = 837,624/x
  3. Step 3: Cross multiply
    384,948x = 837,624 × 837,624
  4. Step 4: Simplify right side
    384,948x = 701,613,965,376
  5. Step 5: Solve for x
    x = 701,613,965,376/384,948
  6. Step 6: Final answer
    x = 1,822,620.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.