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Finding the Third Proportional to 665,784 and 1,456,152.75

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Solution

The third proportional to 665,784 and 1,456,152.75 is: 3,184,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,784 : 1,456,152.75 = 1,456,152.75 : x
  2. Step 2: Convert to fraction form
    665,784/1,456,152.75 = 1,456,152.75/x
  3. Step 3: Cross multiply
    665,784x = 1,456,152.75 × 1,456,152.75
  4. Step 4: Simplify right side
    665,784x = 2,120,380,831,332.56
  5. Step 5: Solve for x
    x = 2,120,380,831,332.56/665,784
  6. Step 6: Final answer
    x = 3,184,787.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.