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Finding the Third Proportional to 803,781 and 1,094,580

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Solution

The third proportional to 803,781 and 1,094,580 is: 1,490,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,781 : 1,094,580 = 1,094,580 : x
  2. Step 2: Convert to fraction form
    803,781/1,094,580 = 1,094,580/x
  3. Step 3: Cross multiply
    803,781x = 1,094,580 × 1,094,580
  4. Step 4: Simplify right side
    803,781x = 1,198,105,376,400
  5. Step 5: Solve for x
    x = 1,198,105,376,400/803,781
  6. Step 6: Final answer
    x = 1,490,586.83

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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.