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Finding the Third Proportional to 569,241 and 1,222,904.25

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Solution

The third proportional to 569,241 and 1,222,904.25 is: 2,627,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,241 : 1,222,904.25 = 1,222,904.25 : x
  2. Step 2: Convert to fraction form
    569,241/1,222,904.25 = 1,222,904.25/x
  3. Step 3: Cross multiply
    569,241x = 1,222,904.25 × 1,222,904.25
  4. Step 4: Simplify right side
    569,241x = 1,495,494,804,668.06
  5. Step 5: Solve for x
    x = 1,495,494,804,668.06/569,241
  6. Step 6: Final answer
    x = 2,627,173.38

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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.