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Finding the Third Proportional to 965,306 and 2,120,944

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Solution

The third proportional to 965,306 and 2,120,944 is: 4,660,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,306 : 2,120,944 = 2,120,944 : x
  2. Step 2: Convert to fraction form
    965,306/2,120,944 = 2,120,944/x
  3. Step 3: Cross multiply
    965,306x = 2,120,944 × 2,120,944
  4. Step 4: Simplify right side
    965,306x = 4,498,403,451,136
  5. Step 5: Solve for x
    x = 4,498,403,451,136/965,306
  6. Step 6: Final answer
    x = 4,660,080.28

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Why These Related Problems?

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