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Finding the Third Proportional to 874,756,832 and 1,784,706,846

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Solution

The third proportional to 874,756,832 and 1,784,706,846 is: 3,641,215,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,756,832 : 1,784,706,846 = 1,784,706,846 : x
  2. Step 2: Convert to fraction form
    874,756,832/1,784,706,846 = 1,784,706,846/x
  3. Step 3: Cross multiply
    874,756,832x = 1,784,706,846 × 1,784,706,846
  4. Step 4: Simplify right side
    874,756,832x = 3,185,178,526,159,267,840
  5. Step 5: Solve for x
    x = 3,185,178,526,159,267,840/874,756,832
  6. Step 6: Final answer
    x = 3,641,215,946.70

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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.