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Finding the Third Proportional to 946,824 and 1,331,772

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Solution

The third proportional to 946,824 and 1,331,772 is: 1,873,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,824 : 1,331,772 = 1,331,772 : x
  2. Step 2: Convert to fraction form
    946,824/1,331,772 = 1,331,772/x
  3. Step 3: Cross multiply
    946,824x = 1,331,772 × 1,331,772
  4. Step 4: Simplify right side
    946,824x = 1,773,616,659,984
  5. Step 5: Solve for x
    x = 1,773,616,659,984/946,824
  6. Step 6: Final answer
    x = 1,873,227.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.