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Finding the Third Proportional to 977,272 and 2,102,288

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Solution

The third proportional to 977,272 and 2,102,288 is: 4,522,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,272 : 2,102,288 = 2,102,288 : x
  2. Step 2: Convert to fraction form
    977,272/2,102,288 = 2,102,288/x
  3. Step 3: Cross multiply
    977,272x = 2,102,288 × 2,102,288
  4. Step 4: Simplify right side
    977,272x = 4,419,614,834,944
  5. Step 5: Solve for x
    x = 4,419,614,834,944/977,272
  6. Step 6: Final answer
    x = 4,522,399.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.