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Finding the Third Proportional to 2,653,641 and 3,631,293

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Solution

The third proportional to 2,653,641 and 3,631,293 is: 4,969,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,641 : 3,631,293 = 3,631,293 : x
  2. Step 2: Convert to fraction form
    2,653,641/3,631,293 = 3,631,293/x
  3. Step 3: Cross multiply
    2,653,641x = 3,631,293 × 3,631,293
  4. Step 4: Simplify right side
    2,653,641x = 13,186,288,851,849
  5. Step 5: Solve for x
    x = 13,186,288,851,849/2,653,641
  6. Step 6: Final answer
    x = 4,969,130.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.