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Finding the Third Proportional to 911,422 and 1,963,084

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Solution

The third proportional to 911,422 and 1,963,084 is: 4,228,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,422 : 1,963,084 = 1,963,084 : x
  2. Step 2: Convert to fraction form
    911,422/1,963,084 = 1,963,084/x
  3. Step 3: Cross multiply
    911,422x = 1,963,084 × 1,963,084
  4. Step 4: Simplify right side
    911,422x = 3,853,698,791,056
  5. Step 5: Solve for x
    x = 3,853,698,791,056/911,422
  6. Step 6: Final answer
    x = 4,228,226.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.