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Finding the Third Proportional to 4,301,734 and 6,602,993

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Solution

The third proportional to 4,301,734 and 6,602,993 is: 10,135,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301,734 : 6,602,993 = 6,602,993 : x
  2. Step 2: Convert to fraction form
    4,301,734/6,602,993 = 6,602,993/x
  3. Step 3: Cross multiply
    4,301,734x = 6,602,993 × 6,602,993
  4. Step 4: Simplify right side
    4,301,734x = 43,599,516,558,049
  5. Step 5: Solve for x
    x = 43,599,516,558,049/4,301,734
  6. Step 6: Final answer
    x = 10,135,335.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.