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Finding the Third Proportional to 638,678 and 888,033

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Solution

The third proportional to 638,678 and 888,033 is: 1,234,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,678 : 888,033 = 888,033 : x
  2. Step 2: Convert to fraction form
    638,678/888,033 = 888,033/x
  3. Step 3: Cross multiply
    638,678x = 888,033 × 888,033
  4. Step 4: Simplify right side
    638,678x = 788,602,609,089
  5. Step 5: Solve for x
    x = 788,602,609,089/638,678
  6. Step 6: Final answer
    x = 1,234,742.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.