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Finding the Third Proportional to 420,842.25 and 901,503

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Solution

The third proportional to 420,842.25 and 901,503 is: 1,931,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,842.25 : 901,503 = 901,503 : x
  2. Step 2: Convert to fraction form
    420,842.25/901,503 = 901,503/x
  3. Step 3: Cross multiply
    420,842.25x = 901,503 × 901,503
  4. Step 4: Simplify right side
    420,842.25x = 812,707,659,009
  5. Step 5: Solve for x
    x = 812,707,659,009/420,842.25
  6. Step 6: Final answer
    x = 1,931,145.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.