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Finding the Third Proportional to 2,897,002 and 4,407,711

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Solution

The third proportional to 2,897,002 and 4,407,711 is: 6,706,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,002 : 4,407,711 = 4,407,711 : x
  2. Step 2: Convert to fraction form
    2,897,002/4,407,711 = 4,407,711/x
  3. Step 3: Cross multiply
    2,897,002x = 4,407,711 × 4,407,711
  4. Step 4: Simplify right side
    2,897,002x = 19,427,916,259,521
  5. Step 5: Solve for x
    x = 19,427,916,259,521/2,897,002
  6. Step 6: Final answer
    x = 6,706,214.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.