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Finding the Third Proportional to 742,668 and 1,082,706

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Solution

The third proportional to 742,668 and 1,082,706 is: 1,578,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,668 : 1,082,706 = 1,082,706 : x
  2. Step 2: Convert to fraction form
    742,668/1,082,706 = 1,082,706/x
  3. Step 3: Cross multiply
    742,668x = 1,082,706 × 1,082,706
  4. Step 4: Simplify right side
    742,668x = 1,172,252,282,436
  5. Step 5: Solve for x
    x = 1,172,252,282,436/742,668
  6. Step 6: Final answer
    x = 1,578,433.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.