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Finding the Third Proportional to 2,823,510 and 4,261,591

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Solution

The third proportional to 2,823,510 and 4,261,591 is: 6,432,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823,510 : 4,261,591 = 4,261,591 : x
  2. Step 2: Convert to fraction form
    2,823,510/4,261,591 = 4,261,591/x
  3. Step 3: Cross multiply
    2,823,510x = 4,261,591 × 4,261,591
  4. Step 4: Simplify right side
    2,823,510x = 18,161,157,851,281
  5. Step 5: Solve for x
    x = 18,161,157,851,281/2,823,510
  6. Step 6: Final answer
    x = 6,432,120.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.