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Finding the Third Proportional to 561,248 and 997,831

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Solution

The third proportional to 561,248 and 997,831 is: 1,774,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,248 : 997,831 = 997,831 : x
  2. Step 2: Convert to fraction form
    561,248/997,831 = 997,831/x
  3. Step 3: Cross multiply
    561,248x = 997,831 × 997,831
  4. Step 4: Simplify right side
    561,248x = 995,666,704,561
  5. Step 5: Solve for x
    x = 995,666,704,561/561,248
  6. Step 6: Final answer
    x = 1,774,022.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.