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Finding the Third Proportional to 421,788 and 911,022

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Solution

The third proportional to 421,788 and 911,022 is: 1,967,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,788 : 911,022 = 911,022 : x
  2. Step 2: Convert to fraction form
    421,788/911,022 = 911,022/x
  3. Step 3: Cross multiply
    421,788x = 911,022 × 911,022
  4. Step 4: Simplify right side
    421,788x = 829,961,084,484
  5. Step 5: Solve for x
    x = 829,961,084,484/421,788
  6. Step 6: Final answer
    x = 1,967,720.95

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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.