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Finding the Third Proportional to 410,264 and 886,140

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Solution

The third proportional to 410,264 and 886,140 is: 1,913,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,264 : 886,140 = 886,140 : x
  2. Step 2: Convert to fraction form
    410,264/886,140 = 886,140/x
  3. Step 3: Cross multiply
    410,264x = 886,140 × 886,140
  4. Step 4: Simplify right side
    410,264x = 785,244,099,600
  5. Step 5: Solve for x
    x = 785,244,099,600/410,264
  6. Step 6: Final answer
    x = 1,913,997.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.