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Finding the Third Proportional to 2,185,120.13 and 3,427,808.63

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Solution

The third proportional to 2,185,120.13 and 3,427,808.63 is: 5,377,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,120.13 : 3,427,808.63 = 3,427,808.63 : x
  2. Step 2: Convert to fraction form
    2,185,120.13/3,427,808.63 = 3,427,808.63/x
  3. Step 3: Cross multiply
    2,185,120.13x = 3,427,808.63 × 3,427,808.63
  4. Step 4: Simplify right side
    2,185,120.13x = 11,749,871,969,624.39
  5. Step 5: Solve for x
    x = 11,749,871,969,624.39/2,185,120.13
  6. Step 6: Final answer
    x = 5,377,220.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.