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Finding the Third Proportional to 414,294 and 897,708

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Solution

The third proportional to 414,294 and 897,708 is: 1,945,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,294 : 897,708 = 897,708 : x
  2. Step 2: Convert to fraction form
    414,294/897,708 = 897,708/x
  3. Step 3: Cross multiply
    414,294x = 897,708 × 897,708
  4. Step 4: Simplify right side
    414,294x = 805,879,653,264
  5. Step 5: Solve for x
    x = 805,879,653,264/414,294
  6. Step 6: Final answer
    x = 1,945,187.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.