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Finding the Third Proportional to 656,082 and 1,412,784

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Solution

The third proportional to 656,082 and 1,412,784 is: 3,042,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,082 : 1,412,784 = 1,412,784 : x
  2. Step 2: Convert to fraction form
    656,082/1,412,784 = 1,412,784/x
  3. Step 3: Cross multiply
    656,082x = 1,412,784 × 1,412,784
  4. Step 4: Simplify right side
    656,082x = 1,995,958,630,656
  5. Step 5: Solve for x
    x = 1,995,958,630,656/656,082
  6. Step 6: Final answer
    x = 3,042,239.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.