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Finding the Third Proportional to 601,862 and 914,614

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Solution

The third proportional to 601,862 and 914,614 is: 1,389,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,862 : 914,614 = 914,614 : x
  2. Step 2: Convert to fraction form
    601,862/914,614 = 914,614/x
  3. Step 3: Cross multiply
    601,862x = 914,614 × 914,614
  4. Step 4: Simplify right side
    601,862x = 836,518,768,996
  5. Step 5: Solve for x
    x = 836,518,768,996/601,862
  6. Step 6: Final answer
    x = 1,389,884.67

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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.