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Finding the Third Proportional to 448,810 and 967,604

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Solution

The third proportional to 448,810 and 967,604 is: 2,086,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,810 : 967,604 = 967,604 : x
  2. Step 2: Convert to fraction form
    448,810/967,604 = 967,604/x
  3. Step 3: Cross multiply
    448,810x = 967,604 × 967,604
  4. Step 4: Simplify right side
    448,810x = 936,257,500,816
  5. Step 5: Solve for x
    x = 936,257,500,816/448,810
  6. Step 6: Final answer
    x = 2,086,088.77

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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.