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Finding the Third Proportional to 535,062.50 and 1,114,412

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Solution

The third proportional to 535,062.50 and 1,114,412 is: 2,321,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,062.50 : 1,114,412 = 1,114,412 : x
  2. Step 2: Convert to fraction form
    535,062.50/1,114,412 = 1,114,412/x
  3. Step 3: Cross multiply
    535,062.50x = 1,114,412 × 1,114,412
  4. Step 4: Simplify right side
    535,062.50x = 1,241,914,105,744
  5. Step 5: Solve for x
    x = 1,241,914,105,744/535,062.50
  6. Step 6: Final answer
    x = 2,321,063.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.