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Finding the Third Proportional to 601,858 and 914,608

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Solution

The third proportional to 601,858 and 914,608 is: 1,389,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,858 : 914,608 = 914,608 : x
  2. Step 2: Convert to fraction form
    601,858/914,608 = 914,608/x
  3. Step 3: Cross multiply
    601,858x = 914,608 × 914,608
  4. Step 4: Simplify right side
    601,858x = 836,507,793,664
  5. Step 5: Solve for x
    x = 836,507,793,664/601,858
  6. Step 6: Final answer
    x = 1,389,875.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.