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Finding the Third Proportional to 605,439 and 949,863

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Solution

The third proportional to 605,439 and 949,863 is: 1,490,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,439 : 949,863 = 949,863 : x
  2. Step 2: Convert to fraction form
    605,439/949,863 = 949,863/x
  3. Step 3: Cross multiply
    605,439x = 949,863 × 949,863
  4. Step 4: Simplify right side
    605,439x = 902,239,718,769
  5. Step 5: Solve for x
    x = 902,239,718,769/605,439
  6. Step 6: Final answer
    x = 1,490,223.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.