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Finding the Third Proportional to 608,694 and 949,890

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Solution

The third proportional to 608,694 and 949,890 is: 1,482,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,694 : 949,890 = 949,890 : x
  2. Step 2: Convert to fraction form
    608,694/949,890 = 949,890/x
  3. Step 3: Cross multiply
    608,694x = 949,890 × 949,890
  4. Step 4: Simplify right side
    608,694x = 902,291,012,100
  5. Step 5: Solve for x
    x = 902,291,012,100/608,694
  6. Step 6: Final answer
    x = 1,482,339.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.