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Finding the Third Proportional to 965,011 and 2,062,542.50

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Solution

The third proportional to 965,011 and 2,062,542.50 is: 4,408,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,011 : 2,062,542.50 = 2,062,542.50 : x
  2. Step 2: Convert to fraction form
    965,011/2,062,542.50 = 2,062,542.50/x
  3. Step 3: Cross multiply
    965,011x = 2,062,542.50 × 2,062,542.50
  4. Step 4: Simplify right side
    965,011x = 4,254,081,564,306.25
  5. Step 5: Solve for x
    x = 4,254,081,564,306.25/965,011
  6. Step 6: Final answer
    x = 4,408,324.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.