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Finding the Third Proportional to 1,292,132.25 and 1,925,592.75

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Solution

The third proportional to 1,292,132.25 and 1,925,592.75 is: 2,869,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,132.25 : 1,925,592.75 = 1,925,592.75 : x
  2. Step 2: Convert to fraction form
    1,292,132.25/1,925,592.75 = 1,925,592.75/x
  3. Step 3: Cross multiply
    1,292,132.25x = 1,925,592.75 × 1,925,592.75
  4. Step 4: Simplify right side
    1,292,132.25x = 3,707,907,438,852.56
  5. Step 5: Solve for x
    x = 3,707,907,438,852.56/1,292,132.25
  6. Step 6: Final answer
    x = 2,869,603.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.