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Finding the Third Proportional to 509,241 and 1,106,062.50

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Solution

The third proportional to 509,241 and 1,106,062.50 is: 2,402,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,241 : 1,106,062.50 = 1,106,062.50 : x
  2. Step 2: Convert to fraction form
    509,241/1,106,062.50 = 1,106,062.50/x
  3. Step 3: Cross multiply
    509,241x = 1,106,062.50 × 1,106,062.50
  4. Step 4: Simplify right side
    509,241x = 1,223,374,253,906.25
  5. Step 5: Solve for x
    x = 1,223,374,253,906.25/509,241
  6. Step 6: Final answer
    x = 2,402,348.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.