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Finding the Third Proportional to 869,764 and 1,762,900

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Solution

The third proportional to 869,764 and 1,762,900 is: 3,573,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,764 : 1,762,900 = 1,762,900 : x
  2. Step 2: Convert to fraction form
    869,764/1,762,900 = 1,762,900/x
  3. Step 3: Cross multiply
    869,764x = 1,762,900 × 1,762,900
  4. Step 4: Simplify right side
    869,764x = 3,107,816,410,000
  5. Step 5: Solve for x
    x = 3,107,816,410,000/869,764
  6. Step 6: Final answer
    x = 3,573,172.04

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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.