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Finding the Third Proportional to 2,032,901 and 2,710,165

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Solution

The third proportional to 2,032,901 and 2,710,165 is: 3,613,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,901 : 2,710,165 = 2,710,165 : x
  2. Step 2: Convert to fraction form
    2,032,901/2,710,165 = 2,710,165/x
  3. Step 3: Cross multiply
    2,032,901x = 2,710,165 × 2,710,165
  4. Step 4: Simplify right side
    2,032,901x = 7,344,994,327,225
  5. Step 5: Solve for x
    x = 7,344,994,327,225/2,032,901
  6. Step 6: Final answer
    x = 3,613,060.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.