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Finding the Third Proportional to 468,952 and 954,478

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Solution

The third proportional to 468,952 and 954,478 is: 1,942,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,952 : 954,478 = 954,478 : x
  2. Step 2: Convert to fraction form
    468,952/954,478 = 954,478/x
  3. Step 3: Cross multiply
    468,952x = 954,478 × 954,478
  4. Step 4: Simplify right side
    468,952x = 911,028,252,484
  5. Step 5: Solve for x
    x = 911,028,252,484/468,952
  6. Step 6: Final answer
    x = 1,942,689.77

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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.