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Finding the Third Proportional to 2,153,712.94 and 3,334,419.84

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Solution

The third proportional to 2,153,712.94 and 3,334,419.84 is: 5,162,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,712.94 : 3,334,419.84 = 3,334,419.84 : x
  2. Step 2: Convert to fraction form
    2,153,712.94/3,334,419.84 = 3,334,419.84/x
  3. Step 3: Cross multiply
    2,153,712.94x = 3,334,419.84 × 3,334,419.84
  4. Step 4: Simplify right side
    2,153,712.94x = 11,118,355,694,393.77
  5. Step 5: Solve for x
    x = 11,118,355,694,393.77/2,153,712.94
  6. Step 6: Final answer
    x = 5,162,413.01

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Why These Related Problems?

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