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Finding the Third Proportional to 2,641,061 and 5,788,413

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Solution

The third proportional to 2,641,061 and 5,788,413 is: 12,686,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641,061 : 5,788,413 = 5,788,413 : x
  2. Step 2: Convert to fraction form
    2,641,061/5,788,413 = 5,788,413/x
  3. Step 3: Cross multiply
    2,641,061x = 5,788,413 × 5,788,413
  4. Step 4: Simplify right side
    2,641,061x = 33,505,725,058,569
  5. Step 5: Solve for x
    x = 33,505,725,058,569/2,641,061
  6. Step 6: Final answer
    x = 12,686,463.91

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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.