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Finding the Third Proportional to 1,429,813 and 2,100,939

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Solution

The third proportional to 1,429,813 and 2,100,939 is: 3,087,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,813 : 2,100,939 = 2,100,939 : x
  2. Step 2: Convert to fraction form
    1,429,813/2,100,939 = 2,100,939/x
  3. Step 3: Cross multiply
    1,429,813x = 2,100,939 × 2,100,939
  4. Step 4: Simplify right side
    1,429,813x = 4,413,944,681,721
  5. Step 5: Solve for x
    x = 4,413,944,681,721/1,429,813
  6. Step 6: Final answer
    x = 3,087,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.