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Finding the Third Proportional to 1,290,846 and 2,836,464

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Solution

The third proportional to 1,290,846 and 2,836,464 is: 6,232,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,846 : 2,836,464 = 2,836,464 : x
  2. Step 2: Convert to fraction form
    1,290,846/2,836,464 = 2,836,464/x
  3. Step 3: Cross multiply
    1,290,846x = 2,836,464 × 2,836,464
  4. Step 4: Simplify right side
    1,290,846x = 8,045,528,023,296
  5. Step 5: Solve for x
    x = 8,045,528,023,296/1,290,846
  6. Step 6: Final answer
    x = 6,232,755.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.