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Finding the Third Proportional to 1,267,698 and 2,784,228

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Solution

The third proportional to 1,267,698 and 2,784,228 is: 6,114,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,698 : 2,784,228 = 2,784,228 : x
  2. Step 2: Convert to fraction form
    1,267,698/2,784,228 = 2,784,228/x
  3. Step 3: Cross multiply
    1,267,698x = 2,784,228 × 2,784,228
  4. Step 4: Simplify right side
    1,267,698x = 7,751,925,555,984
  5. Step 5: Solve for x
    x = 7,751,925,555,984/1,267,698
  6. Step 6: Final answer
    x = 6,114,962.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.