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Finding the Third Proportional to 1,795,664 and 3,871,184

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Solution

The third proportional to 1,795,664 and 3,871,184 is: 8,345,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,664 : 3,871,184 = 3,871,184 : x
  2. Step 2: Convert to fraction form
    1,795,664/3,871,184 = 3,871,184/x
  3. Step 3: Cross multiply
    1,795,664x = 3,871,184 × 3,871,184
  4. Step 4: Simplify right side
    1,795,664x = 14,986,065,561,856
  5. Step 5: Solve for x
    x = 14,986,065,561,856/1,795,664
  6. Step 6: Final answer
    x = 8,345,695.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.