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Finding the Third Proportional to 874,756,834 and 1,784,706,850

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Solution

The third proportional to 874,756,834 and 1,784,706,850 is: 3,641,215,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,756,834 : 1,784,706,850 = 1,784,706,850 : x
  2. Step 2: Convert to fraction form
    874,756,834/1,784,706,850 = 1,784,706,850/x
  3. Step 3: Cross multiply
    874,756,834x = 1,784,706,850 × 1,784,706,850
  4. Step 4: Simplify right side
    874,756,834x = 3,185,178,540,436,922,368
  5. Step 5: Solve for x
    x = 3,185,178,540,436,922,368/874,756,834
  6. Step 6: Final answer
    x = 3,641,215,954.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.