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Finding the Third Proportional to 1,165,380 and 2,546,905

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Solution

The third proportional to 1,165,380 and 2,546,905 is: 5,566,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,380 : 2,546,905 = 2,546,905 : x
  2. Step 2: Convert to fraction form
    1,165,380/2,546,905 = 2,546,905/x
  3. Step 3: Cross multiply
    1,165,380x = 2,546,905 × 2,546,905
  4. Step 4: Simplify right side
    1,165,380x = 6,486,725,079,025
  5. Step 5: Solve for x
    x = 6,486,725,079,025/1,165,380
  6. Step 6: Final answer
    x = 5,566,188.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.