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Finding the Third Proportional to 467,538 and 1,014,780

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Solution

The third proportional to 467,538 and 1,014,780 is: 2,202,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,538 : 1,014,780 = 1,014,780 : x
  2. Step 2: Convert to fraction form
    467,538/1,014,780 = 1,014,780/x
  3. Step 3: Cross multiply
    467,538x = 1,014,780 × 1,014,780
  4. Step 4: Simplify right side
    467,538x = 1,029,778,448,400
  5. Step 5: Solve for x
    x = 1,029,778,448,400/467,538
  6. Step 6: Final answer
    x = 2,202,555.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.