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Finding the Third Proportional to 468,952 and 954,477

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Solution

The third proportional to 468,952 and 954,477 is: 1,942,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,952 : 954,477 = 954,477 : x
  2. Step 2: Convert to fraction form
    468,952/954,477 = 954,477/x
  3. Step 3: Cross multiply
    468,952x = 954,477 × 954,477
  4. Step 4: Simplify right side
    468,952x = 911,026,343,529
  5. Step 5: Solve for x
    x = 911,026,343,529/468,952
  6. Step 6: Final answer
    x = 1,942,685.70

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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.