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Finding the Third Proportional to 2,171,166 and 3,193,588.50

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Solution

The third proportional to 2,171,166 and 3,193,588.50 is: 4,697,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,166 : 3,193,588.50 = 3,193,588.50 : x
  2. Step 2: Convert to fraction form
    2,171,166/3,193,588.50 = 3,193,588.50/x
  3. Step 3: Cross multiply
    2,171,166x = 3,193,588.50 × 3,193,588.50
  4. Step 4: Simplify right side
    2,171,166x = 10,199,007,507,332.25
  5. Step 5: Solve for x
    x = 10,199,007,507,332.25/2,171,166
  6. Step 6: Final answer
    x = 4,697,479.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.