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Finding the Third Proportional to 494,052 and 1,063,002

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Solution

The third proportional to 494,052 and 1,063,002 is: 2,287,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,052 : 1,063,002 = 1,063,002 : x
  2. Step 2: Convert to fraction form
    494,052/1,063,002 = 1,063,002/x
  3. Step 3: Cross multiply
    494,052x = 1,063,002 × 1,063,002
  4. Step 4: Simplify right side
    494,052x = 1,129,973,252,004
  5. Step 5: Solve for x
    x = 1,129,973,252,004/494,052
  6. Step 6: Final answer
    x = 2,287,154.49

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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.