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Finding the Third Proportional to 2,684,205 and 4,065,401.81

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Solution

The third proportional to 2,684,205 and 4,065,401.81 is: 6,157,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,205 : 4,065,401.81 = 4,065,401.81 : x
  2. Step 2: Convert to fraction form
    2,684,205/4,065,401.81 = 4,065,401.81/x
  3. Step 3: Cross multiply
    2,684,205x = 4,065,401.81 × 4,065,401.81
  4. Step 4: Simplify right side
    2,684,205x = 16,527,491,897,078.29
  5. Step 5: Solve for x
    x = 16,527,491,897,078.29/2,684,205
  6. Step 6: Final answer
    x = 6,157,313.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.