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Finding the Third Proportional to 653,832 and 1,410,939

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Solution

The third proportional to 653,832 and 1,410,939 is: 3,044,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,832 : 1,410,939 = 1,410,939 : x
  2. Step 2: Convert to fraction form
    653,832/1,410,939 = 1,410,939/x
  3. Step 3: Cross multiply
    653,832x = 1,410,939 × 1,410,939
  4. Step 4: Simplify right side
    653,832x = 1,990,748,861,721
  5. Step 5: Solve for x
    x = 1,990,748,861,721/653,832
  6. Step 6: Final answer
    x = 3,044,740.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.