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Finding the Third Proportional to 4,157,629 and 6,219,489

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Solution

The third proportional to 4,157,629 and 6,219,489 is: 9,303,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,629 : 6,219,489 = 6,219,489 : x
  2. Step 2: Convert to fraction form
    4,157,629/6,219,489 = 6,219,489/x
  3. Step 3: Cross multiply
    4,157,629x = 6,219,489 × 6,219,489
  4. Step 4: Simplify right side
    4,157,629x = 38,682,043,421,121
  5. Step 5: Solve for x
    x = 38,682,043,421,121/4,157,629
  6. Step 6: Final answer
    x = 9,303,870.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.