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Finding the Third Proportional to 641,976 and 1,518,200

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Solution

The third proportional to 641,976 and 1,518,200 is: 3,590,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,976 : 1,518,200 = 1,518,200 : x
  2. Step 2: Convert to fraction form
    641,976/1,518,200 = 1,518,200/x
  3. Step 3: Cross multiply
    641,976x = 1,518,200 × 1,518,200
  4. Step 4: Simplify right side
    641,976x = 2,304,931,240,000
  5. Step 5: Solve for x
    x = 2,304,931,240,000/641,976
  6. Step 6: Final answer
    x = 3,590,369.80

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.