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Finding the Third Proportional to 2,419,464 and 3,763,140

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Solution

The third proportional to 2,419,464 and 3,763,140 is: 5,853,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,464 : 3,763,140 = 3,763,140 : x
  2. Step 2: Convert to fraction form
    2,419,464/3,763,140 = 3,763,140/x
  3. Step 3: Cross multiply
    2,419,464x = 3,763,140 × 3,763,140
  4. Step 4: Simplify right side
    2,419,464x = 14,161,222,659,600
  5. Step 5: Solve for x
    x = 14,161,222,659,600/2,419,464
  6. Step 6: Final answer
    x = 5,853,041.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.