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Finding the Third Proportional to 1,424,070 and 2,204,289

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Solution

The third proportional to 1,424,070 and 2,204,289 is: 3,411,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,070 : 2,204,289 = 2,204,289 : x
  2. Step 2: Convert to fraction form
    1,424,070/2,204,289 = 2,204,289/x
  3. Step 3: Cross multiply
    1,424,070x = 2,204,289 × 2,204,289
  4. Step 4: Simplify right side
    1,424,070x = 4,858,889,995,521
  5. Step 5: Solve for x
    x = 4,858,889,995,521/1,424,070
  6. Step 6: Final answer
    x = 3,411,974.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.