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Finding the Third Proportional to 465,792 and 948,716

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Solution

The third proportional to 465,792 and 948,716 is: 1,932,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,792 : 948,716 = 948,716 : x
  2. Step 2: Convert to fraction form
    465,792/948,716 = 948,716/x
  3. Step 3: Cross multiply
    465,792x = 948,716 × 948,716
  4. Step 4: Simplify right side
    465,792x = 900,062,048,656
  5. Step 5: Solve for x
    x = 900,062,048,656/465,792
  6. Step 6: Final answer
    x = 1,932,326.12

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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.