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Finding the Third Proportional to 729,444 and 1,172,008

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Solution

The third proportional to 729,444 and 1,172,008 is: 1,883,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,444 : 1,172,008 = 1,172,008 : x
  2. Step 2: Convert to fraction form
    729,444/1,172,008 = 1,172,008/x
  3. Step 3: Cross multiply
    729,444x = 1,172,008 × 1,172,008
  4. Step 4: Simplify right side
    729,444x = 1,373,602,752,064
  5. Step 5: Solve for x
    x = 1,373,602,752,064/729,444
  6. Step 6: Final answer
    x = 1,883,081.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.