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Finding the Third Proportional to 3,711,163 and 5,746,321

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Solution

The third proportional to 3,711,163 and 5,746,321 is: 8,897,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711,163 : 5,746,321 = 5,746,321 : x
  2. Step 2: Convert to fraction form
    3,711,163/5,746,321 = 5,746,321/x
  3. Step 3: Cross multiply
    3,711,163x = 5,746,321 × 5,746,321
  4. Step 4: Simplify right side
    3,711,163x = 33,020,205,035,041
  5. Step 5: Solve for x
    x = 33,020,205,035,041/3,711,163
  6. Step 6: Final answer
    x = 8,897,535.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.