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Finding the Third Proportional to 481,290 and 974,262

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Solution

The third proportional to 481,290 and 974,262 is: 1,972,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,290 : 974,262 = 974,262 : x
  2. Step 2: Convert to fraction form
    481,290/974,262 = 974,262/x
  3. Step 3: Cross multiply
    481,290x = 974,262 × 974,262
  4. Step 4: Simplify right side
    481,290x = 949,186,444,644
  5. Step 5: Solve for x
    x = 949,186,444,644/481,290
  6. Step 6: Final answer
    x = 1,972,171.55

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.