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Finding the Third Proportional to 491,170.50 and 1,085,574

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Solution

The third proportional to 491,170.50 and 1,085,574 is: 2,399,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,170.50 : 1,085,574 = 1,085,574 : x
  2. Step 2: Convert to fraction form
    491,170.50/1,085,574 = 1,085,574/x
  3. Step 3: Cross multiply
    491,170.50x = 1,085,574 × 1,085,574
  4. Step 4: Simplify right side
    491,170.50x = 1,178,470,909,476
  5. Step 5: Solve for x
    x = 1,178,470,909,476/491,170.50
  6. Step 6: Final answer
    x = 2,399,311.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.