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Finding the Third Proportional to 812,574 and 1,750,022

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Solution

The third proportional to 812,574 and 1,750,022 is: 3,768,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,574 : 1,750,022 = 1,750,022 : x
  2. Step 2: Convert to fraction form
    812,574/1,750,022 = 1,750,022/x
  3. Step 3: Cross multiply
    812,574x = 1,750,022 × 1,750,022
  4. Step 4: Simplify right side
    812,574x = 3,062,577,000,484
  5. Step 5: Solve for x
    x = 3,062,577,000,484/812,574
  6. Step 6: Final answer
    x = 3,768,982.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.