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Finding the Third Proportional to 633,583 and 1,378,703

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Solution

The third proportional to 633,583 and 1,378,703 is: 3,000,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,583 : 1,378,703 = 1,378,703 : x
  2. Step 2: Convert to fraction form
    633,583/1,378,703 = 1,378,703/x
  3. Step 3: Cross multiply
    633,583x = 1,378,703 × 1,378,703
  4. Step 4: Simplify right side
    633,583x = 1,900,821,962,209
  5. Step 5: Solve for x
    x = 1,900,821,962,209/633,583
  6. Step 6: Final answer
    x = 3,000,115.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.