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Finding the Third Proportional to 464,409 and 948,496

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Solution

The third proportional to 464,409 and 948,496 is: 1,937,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,409 : 948,496 = 948,496 : x
  2. Step 2: Convert to fraction form
    464,409/948,496 = 948,496/x
  3. Step 3: Cross multiply
    464,409x = 948,496 × 948,496
  4. Step 4: Simplify right side
    464,409x = 899,644,662,016
  5. Step 5: Solve for x
    x = 899,644,662,016/464,409
  6. Step 6: Final answer
    x = 1,937,181.80

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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.