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Finding the Third Proportional to 847,611 and 1,280,057

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Solution

The third proportional to 847,611 and 1,280,057 is: 1,933,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,611 : 1,280,057 = 1,280,057 : x
  2. Step 2: Convert to fraction form
    847,611/1,280,057 = 1,280,057/x
  3. Step 3: Cross multiply
    847,611x = 1,280,057 × 1,280,057
  4. Step 4: Simplify right side
    847,611x = 1,638,545,923,249
  5. Step 5: Solve for x
    x = 1,638,545,923,249/847,611
  6. Step 6: Final answer
    x = 1,933,134.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.