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Finding the Third Proportional to 449,409 and 954,222

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Solution

The third proportional to 449,409 and 954,222 is: 2,026,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,409 : 954,222 = 954,222 : x
  2. Step 2: Convert to fraction form
    449,409/954,222 = 954,222/x
  3. Step 3: Cross multiply
    449,409x = 954,222 × 954,222
  4. Step 4: Simplify right side
    449,409x = 910,539,625,284
  5. Step 5: Solve for x
    x = 910,539,625,284/449,409
  6. Step 6: Final answer
    x = 2,026,082.31

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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.