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Finding the Third Proportional to 977,067 and 2,152,908

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Solution

The third proportional to 977,067 and 2,152,908 is: 4,743,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,067 : 2,152,908 = 2,152,908 : x
  2. Step 2: Convert to fraction form
    977,067/2,152,908 = 2,152,908/x
  3. Step 3: Cross multiply
    977,067x = 2,152,908 × 2,152,908
  4. Step 4: Simplify right side
    977,067x = 4,635,012,856,464
  5. Step 5: Solve for x
    x = 4,635,012,856,464/977,067
  6. Step 6: Final answer
    x = 4,743,802.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.