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Finding the Third Proportional to 846,904 and 1,203,816

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Solution

The third proportional to 846,904 and 1,203,816 is: 1,711,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,904 : 1,203,816 = 1,203,816 : x
  2. Step 2: Convert to fraction form
    846,904/1,203,816 = 1,203,816/x
  3. Step 3: Cross multiply
    846,904x = 1,203,816 × 1,203,816
  4. Step 4: Simplify right side
    846,904x = 1,449,172,961,856
  5. Step 5: Solve for x
    x = 1,449,172,961,856/846,904
  6. Step 6: Final answer
    x = 1,711,141.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.