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Finding the Third Proportional to 977,256 and 2,102,256

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Solution

The third proportional to 977,256 and 2,102,256 is: 4,522,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,256 : 2,102,256 = 2,102,256 : x
  2. Step 2: Convert to fraction form
    977,256/2,102,256 = 2,102,256/x
  3. Step 3: Cross multiply
    977,256x = 2,102,256 × 2,102,256
  4. Step 4: Simplify right side
    977,256x = 4,419,480,289,536
  5. Step 5: Solve for x
    x = 4,419,480,289,536/977,256
  6. Step 6: Final answer
    x = 4,522,336.31

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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.