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Finding the Third Proportional to 612,987.75 and 1,472,640.75

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Solution

The third proportional to 612,987.75 and 1,472,640.75 is: 3,537,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,987.75 : 1,472,640.75 = 1,472,640.75 : x
  2. Step 2: Convert to fraction form
    612,987.75/1,472,640.75 = 1,472,640.75/x
  3. Step 3: Cross multiply
    612,987.75x = 1,472,640.75 × 1,472,640.75
  4. Step 4: Simplify right side
    612,987.75x = 2,168,670,778,560.56
  5. Step 5: Solve for x
    x = 2,168,670,778,560.56/612,987.75
  6. Step 6: Final answer
    x = 3,537,869.69

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.