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Finding the Third Proportional to 492,566 and 1,063,724

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Solution

The third proportional to 492,566 and 1,063,724 is: 2,297,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,566 : 1,063,724 = 1,063,724 : x
  2. Step 2: Convert to fraction form
    492,566/1,063,724 = 1,063,724/x
  3. Step 3: Cross multiply
    492,566x = 1,063,724 × 1,063,724
  4. Step 4: Simplify right side
    492,566x = 1,131,508,748,176
  5. Step 5: Solve for x
    x = 1,131,508,748,176/492,566
  6. Step 6: Final answer
    x = 2,297,171.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.