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Finding the Third Proportional to 1,031,652 and 1,578,006

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Solution

The third proportional to 1,031,652 and 1,578,006 is: 2,413,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,652 : 1,578,006 = 1,578,006 : x
  2. Step 2: Convert to fraction form
    1,031,652/1,578,006 = 1,578,006/x
  3. Step 3: Cross multiply
    1,031,652x = 1,578,006 × 1,578,006
  4. Step 4: Simplify right side
    1,031,652x = 2,490,102,936,036
  5. Step 5: Solve for x
    x = 2,490,102,936,036/1,031,652
  6. Step 6: Final answer
    x = 2,413,704.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.