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Finding the Third Proportional to 498,082 and 1,066,148

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Solution

The third proportional to 498,082 and 1,066,148 is: 2,282,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,082 : 1,066,148 = 1,066,148 : x
  2. Step 2: Convert to fraction form
    498,082/1,066,148 = 1,066,148/x
  3. Step 3: Cross multiply
    498,082x = 1,066,148 × 1,066,148
  4. Step 4: Simplify right side
    498,082x = 1,136,671,557,904
  5. Step 5: Solve for x
    x = 1,136,671,557,904/498,082
  6. Step 6: Final answer
    x = 2,282,097.24

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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.