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Finding the Third Proportional to 825,192 and 1,113,372

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Solution

The third proportional to 825,192 and 1,113,372 is: 1,502,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,192 : 1,113,372 = 1,113,372 : x
  2. Step 2: Convert to fraction form
    825,192/1,113,372 = 1,113,372/x
  3. Step 3: Cross multiply
    825,192x = 1,113,372 × 1,113,372
  4. Step 4: Simplify right side
    825,192x = 1,239,597,210,384
  5. Step 5: Solve for x
    x = 1,239,597,210,384/825,192
  6. Step 6: Final answer
    x = 1,502,192.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.