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Finding the Third Proportional to 4,610,241 and 6,765,892

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Solution

The third proportional to 4,610,241 and 6,765,892 is: 9,929,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610,241 : 6,765,892 = 6,765,892 : x
  2. Step 2: Convert to fraction form
    4,610,241/6,765,892 = 6,765,892/x
  3. Step 3: Cross multiply
    4,610,241x = 6,765,892 × 6,765,892
  4. Step 4: Simplify right side
    4,610,241x = 45,777,294,555,664
  5. Step 5: Solve for x
    x = 45,777,294,555,664/4,610,241
  6. Step 6: Final answer
    x = 9,929,479.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.