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Finding the Third Proportional to 934,488 and 1,420,200

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Solution

The third proportional to 934,488 and 1,420,200 is: 2,158,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,488 : 1,420,200 = 1,420,200 : x
  2. Step 2: Convert to fraction form
    934,488/1,420,200 = 1,420,200/x
  3. Step 3: Cross multiply
    934,488x = 1,420,200 × 1,420,200
  4. Step 4: Simplify right side
    934,488x = 2,016,968,040,000
  5. Step 5: Solve for x
    x = 2,016,968,040,000/934,488
  6. Step 6: Final answer
    x = 2,158,366.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.