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Finding the Third Proportional to 851,319 and 1,269,589.50

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Solution

The third proportional to 851,319 and 1,269,589.50 is: 1,893,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,319 : 1,269,589.50 = 1,269,589.50 : x
  2. Step 2: Convert to fraction form
    851,319/1,269,589.50 = 1,269,589.50/x
  3. Step 3: Cross multiply
    851,319x = 1,269,589.50 × 1,269,589.50
  4. Step 4: Simplify right side
    851,319x = 1,611,857,498,510.25
  5. Step 5: Solve for x
    x = 1,611,857,498,510.25/851,319
  6. Step 6: Final answer
    x = 1,893,364.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.