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Finding the Third Proportional to 799,408 and 1,712,772

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Solution

The third proportional to 799,408 and 1,712,772 is: 3,669,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,408 : 1,712,772 = 1,712,772 : x
  2. Step 2: Convert to fraction form
    799,408/1,712,772 = 1,712,772/x
  3. Step 3: Cross multiply
    799,408x = 1,712,772 × 1,712,772
  4. Step 4: Simplify right side
    799,408x = 2,933,587,923,984
  5. Step 5: Solve for x
    x = 2,933,587,923,984/799,408
  6. Step 6: Final answer
    x = 3,669,700.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.