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Finding the Third Proportional to 869,783 and 1,764,022

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Solution

The third proportional to 869,783 and 1,764,022 is: 3,577,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,783 : 1,764,022 = 1,764,022 : x
  2. Step 2: Convert to fraction form
    869,783/1,764,022 = 1,764,022/x
  3. Step 3: Cross multiply
    869,783x = 1,764,022 × 1,764,022
  4. Step 4: Simplify right side
    869,783x = 3,111,773,616,484
  5. Step 5: Solve for x
    x = 3,111,773,616,484/869,783
  6. Step 6: Final answer
    x = 3,577,643.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.