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Finding the Third Proportional to 569,064 and 1,190,737.50

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Solution

The third proportional to 569,064 and 1,190,737.50 is: 2,491,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,064 : 1,190,737.50 = 1,190,737.50 : x
  2. Step 2: Convert to fraction form
    569,064/1,190,737.50 = 1,190,737.50/x
  3. Step 3: Cross multiply
    569,064x = 1,190,737.50 × 1,190,737.50
  4. Step 4: Simplify right side
    569,064x = 1,417,855,793,906.25
  5. Step 5: Solve for x
    x = 1,417,855,793,906.25/569,064
  6. Step 6: Final answer
    x = 2,491,557.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.