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Finding the Third Proportional to 619,496 and 911,100

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Solution

The third proportional to 619,496 and 911,100 is: 1,339,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,496 : 911,100 = 911,100 : x
  2. Step 2: Convert to fraction form
    619,496/911,100 = 911,100/x
  3. Step 3: Cross multiply
    619,496x = 911,100 × 911,100
  4. Step 4: Simplify right side
    619,496x = 830,103,210,000
  5. Step 5: Solve for x
    x = 830,103,210,000/619,496
  6. Step 6: Final answer
    x = 1,339,965.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.