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Finding the Third Proportional to 4,230,742 and 6,445,311

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Solution

The third proportional to 4,230,742 and 6,445,311 is: 9,819,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230,742 : 6,445,311 = 6,445,311 : x
  2. Step 2: Convert to fraction form
    4,230,742/6,445,311 = 6,445,311/x
  3. Step 3: Cross multiply
    4,230,742x = 6,445,311 × 6,445,311
  4. Step 4: Simplify right side
    4,230,742x = 41,542,033,886,721
  5. Step 5: Solve for x
    x = 41,542,033,886,721/4,230,742
  6. Step 6: Final answer
    x = 9,819,089.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.