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Finding the Third Proportional to 977,268 and 2,102,280

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Solution

The third proportional to 977,268 and 2,102,280 is: 4,522,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,268 : 2,102,280 = 2,102,280 : x
  2. Step 2: Convert to fraction form
    977,268/2,102,280 = 2,102,280/x
  3. Step 3: Cross multiply
    977,268x = 2,102,280 × 2,102,280
  4. Step 4: Simplify right side
    977,268x = 4,419,581,198,400
  5. Step 5: Solve for x
    x = 4,419,581,198,400/977,268
  6. Step 6: Final answer
    x = 4,522,384.03

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Why These Related Problems?

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