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Finding the Third Proportional to 1,501,407 and 3,542,769

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Solution

The third proportional to 1,501,407 and 3,542,769 is: 8,359,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,407 : 3,542,769 = 3,542,769 : x
  2. Step 2: Convert to fraction form
    1,501,407/3,542,769 = 3,542,769/x
  3. Step 3: Cross multiply
    1,501,407x = 3,542,769 × 3,542,769
  4. Step 4: Simplify right side
    1,501,407x = 12,551,212,187,361
  5. Step 5: Solve for x
    x = 12,551,212,187,361/1,501,407
  6. Step 6: Final answer
    x = 8,359,633.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.