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Finding the Third Proportional to 1,596,408.75 and 2,411,208

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Solution

The third proportional to 1,596,408.75 and 2,411,208 is: 3,641,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,408.75 : 2,411,208 = 2,411,208 : x
  2. Step 2: Convert to fraction form
    1,596,408.75/2,411,208 = 2,411,208/x
  3. Step 3: Cross multiply
    1,596,408.75x = 2,411,208 × 2,411,208
  4. Step 4: Simplify right side
    1,596,408.75x = 5,813,924,019,264
  5. Step 5: Solve for x
    x = 5,813,924,019,264/1,596,408.75
  6. Step 6: Final answer
    x = 3,641,876.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.