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Finding the Third Proportional to 803,741 and 1,094,557.50

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Solution

The third proportional to 803,741 and 1,094,557.50 is: 1,490,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,741 : 1,094,557.50 = 1,094,557.50 : x
  2. Step 2: Convert to fraction form
    803,741/1,094,557.50 = 1,094,557.50/x
  3. Step 3: Cross multiply
    803,741x = 1,094,557.50 × 1,094,557.50
  4. Step 4: Simplify right side
    803,741x = 1,198,056,120,806.25
  5. Step 5: Solve for x
    x = 1,198,056,120,806.25/803,741
  6. Step 6: Final answer
    x = 1,490,599.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.