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Finding the Third Proportional to 422,356.90 and 874,654.77

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Solution

The third proportional to 422,356.90 and 874,654.77 is: 1,811,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,356.90 : 874,654.77 = 874,654.77 : x
  2. Step 2: Convert to fraction form
    422,356.90/874,654.77 = 874,654.77/x
  3. Step 3: Cross multiply
    422,356.90x = 874,654.77 × 874,654.77
  4. Step 4: Simplify right side
    422,356.90x = 765,020,965,863.76
  5. Step 5: Solve for x
    x = 765,020,965,863.76/422,356.90
  6. Step 6: Final answer
    x = 1,811,314.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.