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Finding the Third Proportional to 762,384 and 1,587,928

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Solution

The third proportional to 762,384 and 1,587,928 is: 3,307,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,384 : 1,587,928 = 1,587,928 : x
  2. Step 2: Convert to fraction form
    762,384/1,587,928 = 1,587,928/x
  3. Step 3: Cross multiply
    762,384x = 1,587,928 × 1,587,928
  4. Step 4: Simplify right side
    762,384x = 2,521,515,333,184
  5. Step 5: Solve for x
    x = 2,521,515,333,184/762,384
  6. Step 6: Final answer
    x = 3,307,408.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.