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Finding the Third Proportional to 916,184 and 1,995,019

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Solution

The third proportional to 916,184 and 1,995,019 is: 4,344,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,184 : 1,995,019 = 1,995,019 : x
  2. Step 2: Convert to fraction form
    916,184/1,995,019 = 1,995,019/x
  3. Step 3: Cross multiply
    916,184x = 1,995,019 × 1,995,019
  4. Step 4: Simplify right side
    916,184x = 3,980,100,810,361
  5. Step 5: Solve for x
    x = 3,980,100,810,361/916,184
  6. Step 6: Final answer
    x = 4,344,215.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.