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Finding the Third Proportional to 897,194 and 1,345,827

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Solution

The third proportional to 897,194 and 1,345,827 is: 2,018,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,194 : 1,345,827 = 1,345,827 : x
  2. Step 2: Convert to fraction form
    897,194/1,345,827 = 1,345,827/x
  3. Step 3: Cross multiply
    897,194x = 1,345,827 × 1,345,827
  4. Step 4: Simplify right side
    897,194x = 1,811,250,313,929
  5. Step 5: Solve for x
    x = 1,811,250,313,929/897,194
  6. Step 6: Final answer
    x = 2,018,794.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.