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Finding the Third Proportional to 534,907.50 and 1,094,409

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Solution

The third proportional to 534,907.50 and 1,094,409 is: 2,239,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,907.50 : 1,094,409 = 1,094,409 : x
  2. Step 2: Convert to fraction form
    534,907.50/1,094,409 = 1,094,409/x
  3. Step 3: Cross multiply
    534,907.50x = 1,094,409 × 1,094,409
  4. Step 4: Simplify right side
    534,907.50x = 1,197,731,059,281
  5. Step 5: Solve for x
    x = 1,197,731,059,281/534,907.50
  6. Step 6: Final answer
    x = 2,239,136.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.