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Finding the Third Proportional to 678,252 and 1,432,104

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Solution

The third proportional to 678,252 and 1,432,104 is: 3,023,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,252 : 1,432,104 = 1,432,104 : x
  2. Step 2: Convert to fraction form
    678,252/1,432,104 = 1,432,104/x
  3. Step 3: Cross multiply
    678,252x = 1,432,104 × 1,432,104
  4. Step 4: Simplify right side
    678,252x = 2,050,921,866,816
  5. Step 5: Solve for x
    x = 2,050,921,866,816/678,252
  6. Step 6: Final answer
    x = 3,023,834.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.