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Finding the Third Proportional to 2,019,981 and 4,432,407

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Solution

The third proportional to 2,019,981 and 4,432,407 is: 9,725,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,981 : 4,432,407 = 4,432,407 : x
  2. Step 2: Convert to fraction form
    2,019,981/4,432,407 = 4,432,407/x
  3. Step 3: Cross multiply
    2,019,981x = 4,432,407 × 4,432,407
  4. Step 4: Simplify right side
    2,019,981x = 19,646,231,813,649
  5. Step 5: Solve for x
    x = 19,646,231,813,649/2,019,981
  6. Step 6: Final answer
    x = 9,725,948.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.