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Finding the Third Proportional to 449,352 and 954,120

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Solution

The third proportional to 449,352 and 954,120 is: 2,025,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,352 : 954,120 = 954,120 : x
  2. Step 2: Convert to fraction form
    449,352/954,120 = 954,120/x
  3. Step 3: Cross multiply
    449,352x = 954,120 × 954,120
  4. Step 4: Simplify right side
    449,352x = 910,344,974,400
  5. Step 5: Solve for x
    x = 910,344,974,400/449,352
  6. Step 6: Final answer
    x = 2,025,906.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.