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Finding the Third Proportional to 464,385 and 948,448

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Solution

The third proportional to 464,385 and 948,448 is: 1,937,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,385 : 948,448 = 948,448 : x
  2. Step 2: Convert to fraction form
    464,385/948,448 = 948,448/x
  3. Step 3: Cross multiply
    464,385x = 948,448 × 948,448
  4. Step 4: Simplify right side
    464,385x = 899,553,608,704
  5. Step 5: Solve for x
    x = 899,553,608,704/464,385
  6. Step 6: Final answer
    x = 1,937,085.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.