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Finding the Third Proportional to 466,674 and 953,028

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Solution

The third proportional to 466,674 and 953,028 is: 1,946,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,674 : 953,028 = 953,028 : x
  2. Step 2: Convert to fraction form
    466,674/953,028 = 953,028/x
  3. Step 3: Cross multiply
    466,674x = 953,028 × 953,028
  4. Step 4: Simplify right side
    466,674x = 908,262,368,784
  5. Step 5: Solve for x
    x = 908,262,368,784/466,674
  6. Step 6: Final answer
    x = 1,946,245.92

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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.