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Finding the Third Proportional to 601,764 and 846,683

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Solution

The third proportional to 601,764 and 846,683 is: 1,191,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,764 : 846,683 = 846,683 : x
  2. Step 2: Convert to fraction form
    601,764/846,683 = 846,683/x
  3. Step 3: Cross multiply
    601,764x = 846,683 × 846,683
  4. Step 4: Simplify right side
    601,764x = 716,872,102,489
  5. Step 5: Solve for x
    x = 716,872,102,489/601,764
  6. Step 6: Final answer
    x = 1,191,284.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.