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Finding the Third Proportional to 2,197,865 and 4,751,356

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Solution

The third proportional to 2,197,865 and 4,751,356 is: 10,271,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,865 : 4,751,356 = 4,751,356 : x
  2. Step 2: Convert to fraction form
    2,197,865/4,751,356 = 4,751,356/x
  3. Step 3: Cross multiply
    2,197,865x = 4,751,356 × 4,751,356
  4. Step 4: Simplify right side
    2,197,865x = 22,575,383,838,736
  5. Step 5: Solve for x
    x = 22,575,383,838,736/2,197,865
  6. Step 6: Final answer
    x = 10,271,506.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.