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Finding the Third Proportional to 1,931,868 and 4,195,593

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Solution

The third proportional to 1,931,868 and 4,195,593 is: 9,111,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,868 : 4,195,593 = 4,195,593 : x
  2. Step 2: Convert to fraction form
    1,931,868/4,195,593 = 4,195,593/x
  3. Step 3: Cross multiply
    1,931,868x = 4,195,593 × 4,195,593
  4. Step 4: Simplify right side
    1,931,868x = 17,603,000,621,649
  5. Step 5: Solve for x
    x = 17,603,000,621,649/1,931,868
  6. Step 6: Final answer
    x = 9,111,906.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.