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Finding the Third Proportional to 795,328.88 and 1,682,780.06

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Solution

The third proportional to 795,328.88 and 1,682,780.06 is: 3,560,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,328.88 : 1,682,780.06 = 1,682,780.06 : x
  2. Step 2: Convert to fraction form
    795,328.88/1,682,780.06 = 1,682,780.06/x
  3. Step 3: Cross multiply
    795,328.88x = 1,682,780.06 × 1,682,780.06
  4. Step 4: Simplify right side
    795,328.88x = 2,831,748,738,747.50
  5. Step 5: Solve for x
    x = 2,831,748,738,747.50/795,328.88
  6. Step 6: Final answer
    x = 3,560,475.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.