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Finding the Third Proportional to 1,535,775 and 3,332,607

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Solution

The third proportional to 1,535,775 and 3,332,607 is: 7,231,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,775 : 3,332,607 = 3,332,607 : x
  2. Step 2: Convert to fraction form
    1,535,775/3,332,607 = 3,332,607/x
  3. Step 3: Cross multiply
    1,535,775x = 3,332,607 × 3,332,607
  4. Step 4: Simplify right side
    1,535,775x = 11,106,269,416,449
  5. Step 5: Solve for x
    x = 11,106,269,416,449/1,535,775
  6. Step 6: Final answer
    x = 7,231,703.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.