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Finding the Third Proportional to 699,504 and 1,026,303

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Solution

The third proportional to 699,504 and 1,026,303 is: 1,505,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,504 : 1,026,303 = 1,026,303 : x
  2. Step 2: Convert to fraction form
    699,504/1,026,303 = 1,026,303/x
  3. Step 3: Cross multiply
    699,504x = 1,026,303 × 1,026,303
  4. Step 4: Simplify right side
    699,504x = 1,053,297,847,809
  5. Step 5: Solve for x
    x = 1,053,297,847,809/699,504
  6. Step 6: Final answer
    x = 1,505,778.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.