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Finding the Third Proportional to 2,019,984 and 4,323,711

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Solution

The third proportional to 2,019,984 and 4,323,711 is: 9,254,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,984 : 4,323,711 = 4,323,711 : x
  2. Step 2: Convert to fraction form
    2,019,984/4,323,711 = 4,323,711/x
  3. Step 3: Cross multiply
    2,019,984x = 4,323,711 × 4,323,711
  4. Step 4: Simplify right side
    2,019,984x = 18,694,476,811,521
  5. Step 5: Solve for x
    x = 18,694,476,811,521/2,019,984
  6. Step 6: Final answer
    x = 9,254,764.80

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Why These Related Problems?

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