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Finding the Third Proportional to 454,656 and 946,368

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Solution

The third proportional to 454,656 and 946,368 is: 1,969,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,656 : 946,368 = 946,368 : x
  2. Step 2: Convert to fraction form
    454,656/946,368 = 946,368/x
  3. Step 3: Cross multiply
    454,656x = 946,368 × 946,368
  4. Step 4: Simplify right side
    454,656x = 895,612,391,424
  5. Step 5: Solve for x
    x = 895,612,391,424/454,656
  6. Step 6: Final answer
    x = 1,969,868.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.