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Finding the Third Proportional to 620,896 and 949,164

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Solution

The third proportional to 620,896 and 949,164 is: 1,450,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,896 : 949,164 = 949,164 : x
  2. Step 2: Convert to fraction form
    620,896/949,164 = 949,164/x
  3. Step 3: Cross multiply
    620,896x = 949,164 × 949,164
  4. Step 4: Simplify right side
    620,896x = 900,912,298,896
  5. Step 5: Solve for x
    x = 900,912,298,896/620,896
  6. Step 6: Final answer
    x = 1,450,987.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.