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Finding the Third Proportional to 1,535,764 and 2,273,425

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Solution

The third proportional to 1,535,764 and 2,273,425 is: 3,365,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,764 : 2,273,425 = 2,273,425 : x
  2. Step 2: Convert to fraction form
    1,535,764/2,273,425 = 2,273,425/x
  3. Step 3: Cross multiply
    1,535,764x = 2,273,425 × 2,273,425
  4. Step 4: Simplify right side
    1,535,764x = 5,168,461,230,625
  5. Step 5: Solve for x
    x = 5,168,461,230,625/1,535,764
  6. Step 6: Final answer
    x = 3,365,400.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.