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Finding the Third Proportional to 601,062 and 899,721

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Solution

The third proportional to 601,062 and 899,721 is: 1,346,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,062 : 899,721 = 899,721 : x
  2. Step 2: Convert to fraction form
    601,062/899,721 = 899,721/x
  3. Step 3: Cross multiply
    601,062x = 899,721 × 899,721
  4. Step 4: Simplify right side
    601,062x = 809,497,877,841
  5. Step 5: Solve for x
    x = 809,497,877,841/601,062
  6. Step 6: Final answer
    x = 1,346,779.33

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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.