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Finding the Third Proportional to 1,065,864 and 2,283,672

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Solution

The third proportional to 1,065,864 and 2,283,672 is: 4,892,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,864 : 2,283,672 = 2,283,672 : x
  2. Step 2: Convert to fraction form
    1,065,864/2,283,672 = 2,283,672/x
  3. Step 3: Cross multiply
    1,065,864x = 2,283,672 × 2,283,672
  4. Step 4: Simplify right side
    1,065,864x = 5,215,157,803,584
  5. Step 5: Solve for x
    x = 5,215,157,803,584/1,065,864
  6. Step 6: Final answer
    x = 4,892,892.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.