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Finding the Third Proportional to 2,024,683.59 and 2,847,982.78

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Solution

The third proportional to 2,024,683.59 and 2,847,982.78 is: 4,006,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,683.59 : 2,847,982.78 = 2,847,982.78 : x
  2. Step 2: Convert to fraction form
    2,024,683.59/2,847,982.78 = 2,847,982.78/x
  3. Step 3: Cross multiply
    2,024,683.59x = 2,847,982.78 × 2,847,982.78
  4. Step 4: Simplify right side
    2,024,683.59x = 8,111,005,922,296.49
  5. Step 5: Solve for x
    x = 8,111,005,922,296.49/2,024,683.59
  6. Step 6: Final answer
    x = 4,006,060.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.