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Finding the Third Proportional to 1,217,196 and 2,471,256

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Solution

The third proportional to 1,217,196 and 2,471,256 is: 5,017,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,196 : 2,471,256 = 2,471,256 : x
  2. Step 2: Convert to fraction form
    1,217,196/2,471,256 = 2,471,256/x
  3. Step 3: Cross multiply
    1,217,196x = 2,471,256 × 2,471,256
  4. Step 4: Simplify right side
    1,217,196x = 6,107,106,217,536
  5. Step 5: Solve for x
    x = 6,107,106,217,536/1,217,196
  6. Step 6: Final answer
    x = 5,017,356.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.