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Finding the Third Proportional to 468,958 and 954,488

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Solution

The third proportional to 468,958 and 954,488 is: 1,942,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,958 : 954,488 = 954,488 : x
  2. Step 2: Convert to fraction form
    468,958/954,488 = 954,488/x
  3. Step 3: Cross multiply
    468,958x = 954,488 × 954,488
  4. Step 4: Simplify right side
    468,958x = 911,047,342,144
  5. Step 5: Solve for x
    x = 911,047,342,144/468,958
  6. Step 6: Final answer
    x = 1,942,705.62

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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.