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Finding the Third Proportional to 651,357 and 1,435,234.50

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Solution

The third proportional to 651,357 and 1,435,234.50 is: 3,162,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,357 : 1,435,234.50 = 1,435,234.50 : x
  2. Step 2: Convert to fraction form
    651,357/1,435,234.50 = 1,435,234.50/x
  3. Step 3: Cross multiply
    651,357x = 1,435,234.50 × 1,435,234.50
  4. Step 4: Simplify right side
    651,357x = 2,059,898,069,990.25
  5. Step 5: Solve for x
    x = 2,059,898,069,990.25/651,357
  6. Step 6: Final answer
    x = 3,162,471.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.