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Finding the Third Proportional to 2,708,786 and 5,641,771

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Solution

The third proportional to 2,708,786 and 5,641,771 is: 11,750,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,786 : 5,641,771 = 5,641,771 : x
  2. Step 2: Convert to fraction form
    2,708,786/5,641,771 = 5,641,771/x
  3. Step 3: Cross multiply
    2,708,786x = 5,641,771 × 5,641,771
  4. Step 4: Simplify right side
    2,708,786x = 31,829,580,016,441
  5. Step 5: Solve for x
    x = 31,829,580,016,441/2,708,786
  6. Step 6: Final answer
    x = 11,750,496.35

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.