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Finding the Third Proportional to 4,314,046 and 6,867,819

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Solution

The third proportional to 4,314,046 and 6,867,819 is: 10,933,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,046 : 6,867,819 = 6,867,819 : x
  2. Step 2: Convert to fraction form
    4,314,046/6,867,819 = 6,867,819/x
  3. Step 3: Cross multiply
    4,314,046x = 6,867,819 × 6,867,819
  4. Step 4: Simplify right side
    4,314,046x = 47,166,937,816,761
  5. Step 5: Solve for x
    x = 47,166,937,816,761/4,314,046
  6. Step 6: Final answer
    x = 10,933,341.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.