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Finding the Third Proportional to 667,894 and 1,001,841

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Solution

The third proportional to 667,894 and 1,001,841 is: 1,502,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,894 : 1,001,841 = 1,001,841 : x
  2. Step 2: Convert to fraction form
    667,894/1,001,841 = 1,001,841/x
  3. Step 3: Cross multiply
    667,894x = 1,001,841 × 1,001,841
  4. Step 4: Simplify right side
    667,894x = 1,003,685,389,281
  5. Step 5: Solve for x
    x = 1,003,685,389,281/667,894
  6. Step 6: Final answer
    x = 1,502,761.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.