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Finding the Third Proportional to 1,408,569 and 2,034,736

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Solution

The third proportional to 1,408,569 and 2,034,736 is: 2,939,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,569 : 2,034,736 = 2,034,736 : x
  2. Step 2: Convert to fraction form
    1,408,569/2,034,736 = 2,034,736/x
  3. Step 3: Cross multiply
    1,408,569x = 2,034,736 × 2,034,736
  4. Step 4: Simplify right side
    1,408,569x = 4,140,150,589,696
  5. Step 5: Solve for x
    x = 4,140,150,589,696/1,408,569
  6. Step 6: Final answer
    x = 2,939,260.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.