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Finding the Third Proportional to 1,267,422 and 2,818,209

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Solution

The third proportional to 1,267,422 and 2,818,209 is: 6,266,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,422 : 2,818,209 = 2,818,209 : x
  2. Step 2: Convert to fraction form
    1,267,422/2,818,209 = 2,818,209/x
  3. Step 3: Cross multiply
    1,267,422x = 2,818,209 × 2,818,209
  4. Step 4: Simplify right side
    1,267,422x = 7,942,301,967,681
  5. Step 5: Solve for x
    x = 7,942,301,967,681/1,267,422
  6. Step 6: Final answer
    x = 6,266,501.58

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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.