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Finding the Third Proportional to 3,711,142 and 5,746,282

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Solution

The third proportional to 3,711,142 and 5,746,282 is: 8,897,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711,142 : 5,746,282 = 5,746,282 : x
  2. Step 2: Convert to fraction form
    3,711,142/5,746,282 = 5,746,282/x
  3. Step 3: Cross multiply
    3,711,142x = 5,746,282 × 5,746,282
  4. Step 4: Simplify right side
    3,711,142x = 33,019,756,823,524
  5. Step 5: Solve for x
    x = 33,019,756,823,524/3,711,142
  6. Step 6: Final answer
    x = 8,897,465.21

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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.