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Finding the Third Proportional to 763,732 and 1,122,214

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Solution

The third proportional to 763,732 and 1,122,214 is: 1,648,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,732 : 1,122,214 = 1,122,214 : x
  2. Step 2: Convert to fraction form
    763,732/1,122,214 = 1,122,214/x
  3. Step 3: Cross multiply
    763,732x = 1,122,214 × 1,122,214
  4. Step 4: Simplify right side
    763,732x = 1,259,364,261,796
  5. Step 5: Solve for x
    x = 1,259,364,261,796/763,732
  6. Step 6: Final answer
    x = 1,648,960.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.