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Finding the Third Proportional to 856,944 and 1,753,200

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Solution

The third proportional to 856,944 and 1,753,200 is: 3,586,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,944 : 1,753,200 = 1,753,200 : x
  2. Step 2: Convert to fraction form
    856,944/1,753,200 = 1,753,200/x
  3. Step 3: Cross multiply
    856,944x = 1,753,200 × 1,753,200
  4. Step 4: Simplify right side
    856,944x = 3,073,710,240,000
  5. Step 5: Solve for x
    x = 3,073,710,240,000/856,944
  6. Step 6: Final answer
    x = 3,586,827.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.