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Finding the Third Proportional to 569,243 and 1,222,905.50

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Solution

The third proportional to 569,243 and 1,222,905.50 is: 2,627,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,243 : 1,222,905.50 = 1,222,905.50 : x
  2. Step 2: Convert to fraction form
    569,243/1,222,905.50 = 1,222,905.50/x
  3. Step 3: Cross multiply
    569,243x = 1,222,905.50 × 1,222,905.50
  4. Step 4: Simplify right side
    569,243x = 1,495,497,861,930.25
  5. Step 5: Solve for x
    x = 1,495,497,861,930.25/569,243
  6. Step 6: Final answer
    x = 2,627,169.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.