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Finding the Third Proportional to 969,064 and 2,122,768

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Solution

The third proportional to 969,064 and 2,122,768 is: 4,649,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,064 : 2,122,768 = 2,122,768 : x
  2. Step 2: Convert to fraction form
    969,064/2,122,768 = 2,122,768/x
  3. Step 3: Cross multiply
    969,064x = 2,122,768 × 2,122,768
  4. Step 4: Simplify right side
    969,064x = 4,506,143,981,824
  5. Step 5: Solve for x
    x = 4,506,143,981,824/969,064
  6. Step 6: Final answer
    x = 4,649,996.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.