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Finding the Third Proportional to 464,396 and 948,474

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Solution

The third proportional to 464,396 and 948,474 is: 1,937,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,396 : 948,474 = 948,474 : x
  2. Step 2: Convert to fraction form
    464,396/948,474 = 948,474/x
  3. Step 3: Cross multiply
    464,396x = 948,474 × 948,474
  4. Step 4: Simplify right side
    464,396x = 899,602,928,676
  5. Step 5: Solve for x
    x = 899,602,928,676/464,396
  6. Step 6: Final answer
    x = 1,937,146.16

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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.