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Finding the Third Proportional to 1,766,649 and 3,813,072

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Solution

The third proportional to 1,766,649 and 3,813,072 is: 8,229,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,649 : 3,813,072 = 3,813,072 : x
  2. Step 2: Convert to fraction form
    1,766,649/3,813,072 = 3,813,072/x
  3. Step 3: Cross multiply
    1,766,649x = 3,813,072 × 3,813,072
  4. Step 4: Simplify right side
    1,766,649x = 14,539,518,077,184
  5. Step 5: Solve for x
    x = 14,539,518,077,184/1,766,649
  6. Step 6: Final answer
    x = 8,229,998.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.