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Finding the Third Proportional to 4,331,985 and 6,734,907

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Solution

The third proportional to 4,331,985 and 6,734,907 is: 10,470,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331,985 : 6,734,907 = 6,734,907 : x
  2. Step 2: Convert to fraction form
    4,331,985/6,734,907 = 6,734,907/x
  3. Step 3: Cross multiply
    4,331,985x = 6,734,907 × 6,734,907
  4. Step 4: Simplify right side
    4,331,985x = 45,358,972,298,649
  5. Step 5: Solve for x
    x = 45,358,972,298,649/4,331,985
  6. Step 6: Final answer
    x = 10,470,713.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.