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Finding the Third Proportional to 410,616 and 877,979

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Solution

The third proportional to 410,616 and 877,979 is: 1,877,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,616 : 877,979 = 877,979 : x
  2. Step 2: Convert to fraction form
    410,616/877,979 = 877,979/x
  3. Step 3: Cross multiply
    410,616x = 877,979 × 877,979
  4. Step 4: Simplify right side
    410,616x = 770,847,124,441
  5. Step 5: Solve for x
    x = 770,847,124,441/410,616
  6. Step 6: Final answer
    x = 1,877,294.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.