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Finding the Third Proportional to 2,032,914 and 2,710,185

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Solution

The third proportional to 2,032,914 and 2,710,185 is: 3,613,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,914 : 2,710,185 = 2,710,185 : x
  2. Step 2: Convert to fraction form
    2,032,914/2,710,185 = 2,710,185/x
  3. Step 3: Cross multiply
    2,032,914x = 2,710,185 × 2,710,185
  4. Step 4: Simplify right side
    2,032,914x = 7,345,102,734,225
  5. Step 5: Solve for x
    x = 7,345,102,734,225/2,032,914
  6. Step 6: Final answer
    x = 3,613,090.73

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