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Finding the Third Proportional to 911,419 and 1,963,080

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Solution

The third proportional to 911,419 and 1,963,080 is: 4,228,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,419 : 1,963,080 = 1,963,080 : x
  2. Step 2: Convert to fraction form
    911,419/1,963,080 = 1,963,080/x
  3. Step 3: Cross multiply
    911,419x = 1,963,080 × 1,963,080
  4. Step 4: Simplify right side
    911,419x = 3,853,683,086,400
  5. Step 5: Solve for x
    x = 3,853,683,086,400/911,419
  6. Step 6: Final answer
    x = 4,228,223.34

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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.