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Finding the Third Proportional to 1,030,786 and 2,219,593

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Solution

The third proportional to 1,030,786 and 2,219,593 is: 4,779,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,786 : 2,219,593 = 2,219,593 : x
  2. Step 2: Convert to fraction form
    1,030,786/2,219,593 = 2,219,593/x
  3. Step 3: Cross multiply
    1,030,786x = 2,219,593 × 2,219,593
  4. Step 4: Simplify right side
    1,030,786x = 4,926,593,085,649
  5. Step 5: Solve for x
    x = 4,926,593,085,649/1,030,786
  6. Step 6: Final answer
    x = 4,779,452.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.