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Finding the Third Proportional to 906,120 and 1,439,532

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Solution

The third proportional to 906,120 and 1,439,532 is: 2,286,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,120 : 1,439,532 = 1,439,532 : x
  2. Step 2: Convert to fraction form
    906,120/1,439,532 = 1,439,532/x
  3. Step 3: Cross multiply
    906,120x = 1,439,532 × 1,439,532
  4. Step 4: Simplify right side
    906,120x = 2,072,252,379,024
  5. Step 5: Solve for x
    x = 2,072,252,379,024/906,120
  6. Step 6: Final answer
    x = 2,286,951.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.