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Finding the Third Proportional to 420,985.50 and 926,034

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Solution

The third proportional to 420,985.50 and 926,034 is: 2,036,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,985.50 : 926,034 = 926,034 : x
  2. Step 2: Convert to fraction form
    420,985.50/926,034 = 926,034/x
  3. Step 3: Cross multiply
    420,985.50x = 926,034 × 926,034
  4. Step 4: Simplify right side
    420,985.50x = 857,538,969,156
  5. Step 5: Solve for x
    x = 857,538,969,156/420,985.50
  6. Step 6: Final answer
    x = 2,036,979.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.