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Finding the Third Proportional to 1,482,868.58 and 2,224,304.30

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Solution

The third proportional to 1,482,868.58 and 2,224,304.30 is: 3,336,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,868.58 : 2,224,304.30 = 2,224,304.30 : x
  2. Step 2: Convert to fraction form
    1,482,868.58/2,224,304.30 = 2,224,304.30/x
  3. Step 3: Cross multiply
    1,482,868.58x = 2,224,304.30 × 2,224,304.30
  4. Step 4: Simplify right side
    1,482,868.58x = 4,947,529,605,096.59
  5. Step 5: Solve for x
    x = 4,947,529,605,096.59/1,482,868.58
  6. Step 6: Final answer
    x = 3,336,458.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.