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Finding the Third Proportional to 620,868 and 949,344

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Solution

The third proportional to 620,868 and 949,344 is: 1,451,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,868 : 949,344 = 949,344 : x
  2. Step 2: Convert to fraction form
    620,868/949,344 = 949,344/x
  3. Step 3: Cross multiply
    620,868x = 949,344 × 949,344
  4. Step 4: Simplify right side
    620,868x = 901,254,030,336
  5. Step 5: Solve for x
    x = 901,254,030,336/620,868
  6. Step 6: Final answer
    x = 1,451,603.29

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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.