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Finding the Third Proportional to 1,267,420 and 2,818,206

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Solution

The third proportional to 1,267,420 and 2,818,206 is: 6,266,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,420 : 2,818,206 = 2,818,206 : x
  2. Step 2: Convert to fraction form
    1,267,420/2,818,206 = 2,818,206/x
  3. Step 3: Cross multiply
    1,267,420x = 2,818,206 × 2,818,206
  4. Step 4: Simplify right side
    1,267,420x = 7,942,285,058,436
  5. Step 5: Solve for x
    x = 7,942,285,058,436/1,267,420
  6. Step 6: Final answer
    x = 6,266,498.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.