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Finding the Third Proportional to 687,642 and 1,051,227

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Solution

The third proportional to 687,642 and 1,051,227 is: 1,607,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,642 : 1,051,227 = 1,051,227 : x
  2. Step 2: Convert to fraction form
    687,642/1,051,227 = 1,051,227/x
  3. Step 3: Cross multiply
    687,642x = 1,051,227 × 1,051,227
  4. Step 4: Simplify right side
    687,642x = 1,105,078,205,529
  5. Step 5: Solve for x
    x = 1,105,078,205,529/687,642
  6. Step 6: Final answer
    x = 1,607,054.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.