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Finding the Third Proportional to 456,028 and 997,760

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Solution

The third proportional to 456,028 and 997,760 is: 2,183,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,028 : 997,760 = 997,760 : x
  2. Step 2: Convert to fraction form
    456,028/997,760 = 997,760/x
  3. Step 3: Cross multiply
    456,028x = 997,760 × 997,760
  4. Step 4: Simplify right side
    456,028x = 995,525,017,600
  5. Step 5: Solve for x
    x = 995,525,017,600/456,028
  6. Step 6: Final answer
    x = 2,183,034.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.