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Finding the Third Proportional to 697,304 and 1,505,200

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Solution

The third proportional to 697,304 and 1,505,200 is: 3,249,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,304 : 1,505,200 = 1,505,200 : x
  2. Step 2: Convert to fraction form
    697,304/1,505,200 = 1,505,200/x
  3. Step 3: Cross multiply
    697,304x = 1,505,200 × 1,505,200
  4. Step 4: Simplify right side
    697,304x = 2,265,627,040,000
  5. Step 5: Solve for x
    x = 2,265,627,040,000/697,304
  6. Step 6: Final answer
    x = 3,249,123.83

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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.