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Finding the Third Proportional to 977,276 and 2,102,296

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Solution

The third proportional to 977,276 and 2,102,296 is: 4,522,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,276 : 2,102,296 = 2,102,296 : x
  2. Step 2: Convert to fraction form
    977,276/2,102,296 = 2,102,296/x
  3. Step 3: Cross multiply
    977,276x = 2,102,296 × 2,102,296
  4. Step 4: Simplify right side
    977,276x = 4,419,648,471,616
  5. Step 5: Solve for x
    x = 4,419,648,471,616/977,276
  6. Step 6: Final answer
    x = 4,522,415.85

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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.