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Finding the Third Proportional to 722,008 and 1,122,498

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Solution

The third proportional to 722,008 and 1,122,498 is: 1,745,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,008 : 1,122,498 = 1,122,498 : x
  2. Step 2: Convert to fraction form
    722,008/1,122,498 = 1,122,498/x
  3. Step 3: Cross multiply
    722,008x = 1,122,498 × 1,122,498
  4. Step 4: Simplify right side
    722,008x = 1,260,001,760,004
  5. Step 5: Solve for x
    x = 1,260,001,760,004/722,008
  6. Step 6: Final answer
    x = 1,745,135.46

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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.