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Finding the Third Proportional to 498,420 and 1,062,072

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Solution

The third proportional to 498,420 and 1,062,072 is: 2,263,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,420 : 1,062,072 = 1,062,072 : x
  2. Step 2: Convert to fraction form
    498,420/1,062,072 = 1,062,072/x
  3. Step 3: Cross multiply
    498,420x = 1,062,072 × 1,062,072
  4. Step 4: Simplify right side
    498,420x = 1,127,996,933,184
  5. Step 5: Solve for x
    x = 1,127,996,933,184/498,420
  6. Step 6: Final answer
    x = 2,263,145.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.