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Finding the Third Proportional to 668,212 and 1,036,268

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Solution

The third proportional to 668,212 and 1,036,268 is: 1,607,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,212 : 1,036,268 = 1,036,268 : x
  2. Step 2: Convert to fraction form
    668,212/1,036,268 = 1,036,268/x
  3. Step 3: Cross multiply
    668,212x = 1,036,268 × 1,036,268
  4. Step 4: Simplify right side
    668,212x = 1,073,851,367,824
  5. Step 5: Solve for x
    x = 1,073,851,367,824/668,212
  6. Step 6: Final answer
    x = 1,607,051.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.