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Finding the Third Proportional to 1,535,573 and 2,408,646

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Solution

The third proportional to 1,535,573 and 2,408,646 is: 3,778,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,573 : 2,408,646 = 2,408,646 : x
  2. Step 2: Convert to fraction form
    1,535,573/2,408,646 = 2,408,646/x
  3. Step 3: Cross multiply
    1,535,573x = 2,408,646 × 2,408,646
  4. Step 4: Simplify right side
    1,535,573x = 5,801,575,553,316
  5. Step 5: Solve for x
    x = 5,801,575,553,316/1,535,573
  6. Step 6: Final answer
    x = 3,778,117.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.