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Finding the Third Proportional to 442,148 and 954,894

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Solution

The third proportional to 442,148 and 954,894 is: 2,062,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,148 : 954,894 = 954,894 : x
  2. Step 2: Convert to fraction form
    442,148/954,894 = 954,894/x
  3. Step 3: Cross multiply
    442,148x = 954,894 × 954,894
  4. Step 4: Simplify right side
    442,148x = 911,822,551,236
  5. Step 5: Solve for x
    x = 911,822,551,236/442,148
  6. Step 6: Final answer
    x = 2,062,256.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.