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Finding the Third Proportional to 1,672,815.75 and 3,561,415.50

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Solution

The third proportional to 1,672,815.75 and 3,561,415.50 is: 7,582,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672,815.75 : 3,561,415.50 = 3,561,415.50 : x
  2. Step 2: Convert to fraction form
    1,672,815.75/3,561,415.50 = 3,561,415.50/x
  3. Step 3: Cross multiply
    1,672,815.75x = 3,561,415.50 × 3,561,415.50
  4. Step 4: Simplify right side
    1,672,815.75x = 12,683,680,363,640.25
  5. Step 5: Solve for x
    x = 12,683,680,363,640.25/1,672,815.75
  6. Step 6: Final answer
    x = 7,582,233.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.