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Finding the Third Proportional to 492,768 and 1,059,192

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Solution

The third proportional to 492,768 and 1,059,192 is: 2,276,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,768 : 1,059,192 = 1,059,192 : x
  2. Step 2: Convert to fraction form
    492,768/1,059,192 = 1,059,192/x
  3. Step 3: Cross multiply
    492,768x = 1,059,192 × 1,059,192
  4. Step 4: Simplify right side
    492,768x = 1,121,887,692,864
  5. Step 5: Solve for x
    x = 1,121,887,692,864/492,768
  6. Step 6: Final answer
    x = 2,276,705.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.