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Finding the Third Proportional to 394,715 and 954,428

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Solution

The third proportional to 394,715 and 954,428 is: 2,307,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,715 : 954,428 = 954,428 : x
  2. Step 2: Convert to fraction form
    394,715/954,428 = 954,428/x
  3. Step 3: Cross multiply
    394,715x = 954,428 × 954,428
  4. Step 4: Simplify right side
    394,715x = 910,932,807,184
  5. Step 5: Solve for x
    x = 910,932,807,184/394,715
  6. Step 6: Final answer
    x = 2,307,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.