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Finding the Third Proportional to 675,227 and 1,069,217

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Solution

The third proportional to 675,227 and 1,069,217 is: 1,693,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,227 : 1,069,217 = 1,069,217 : x
  2. Step 2: Convert to fraction form
    675,227/1,069,217 = 1,069,217/x
  3. Step 3: Cross multiply
    675,227x = 1,069,217 × 1,069,217
  4. Step 4: Simplify right side
    675,227x = 1,143,224,993,089
  5. Step 5: Solve for x
    x = 1,143,224,993,089/675,227
  6. Step 6: Final answer
    x = 1,693,097.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.