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Finding the Third Proportional to 485,064 and 989,856

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Solution

The third proportional to 485,064 and 989,856 is: 2,019,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,064 : 989,856 = 989,856 : x
  2. Step 2: Convert to fraction form
    485,064/989,856 = 989,856/x
  3. Step 3: Cross multiply
    485,064x = 989,856 × 989,856
  4. Step 4: Simplify right side
    485,064x = 979,814,900,736
  5. Step 5: Solve for x
    x = 979,814,900,736/485,064
  6. Step 6: Final answer
    x = 2,019,970.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.