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Finding the Third Proportional to 1,029,446 and 1,485,102

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Solution

The third proportional to 1,029,446 and 1,485,102 is: 2,142,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,446 : 1,485,102 = 1,485,102 : x
  2. Step 2: Convert to fraction form
    1,029,446/1,485,102 = 1,485,102/x
  3. Step 3: Cross multiply
    1,029,446x = 1,485,102 × 1,485,102
  4. Step 4: Simplify right side
    1,029,446x = 2,205,527,950,404
  5. Step 5: Solve for x
    x = 2,205,527,950,404/1,029,446
  6. Step 6: Final answer
    x = 2,142,441.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.