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Finding the Third Proportional to 1,469,294 and 2,270,434

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Solution

The third proportional to 1,469,294 and 2,270,434 is: 3,508,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,294 : 2,270,434 = 2,270,434 : x
  2. Step 2: Convert to fraction form
    1,469,294/2,270,434 = 2,270,434/x
  3. Step 3: Cross multiply
    1,469,294x = 2,270,434 × 2,270,434
  4. Step 4: Simplify right side
    1,469,294x = 5,154,870,548,356
  5. Step 5: Solve for x
    x = 5,154,870,548,356/1,469,294
  6. Step 6: Final answer
    x = 3,508,399.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.