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Finding the Third Proportional to 597,467 and 1,290,014

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Solution

The third proportional to 597,467 and 1,290,014 is: 2,785,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,467 : 1,290,014 = 1,290,014 : x
  2. Step 2: Convert to fraction form
    597,467/1,290,014 = 1,290,014/x
  3. Step 3: Cross multiply
    597,467x = 1,290,014 × 1,290,014
  4. Step 4: Simplify right side
    597,467x = 1,664,136,120,196
  5. Step 5: Solve for x
    x = 1,664,136,120,196/597,467
  6. Step 6: Final answer
    x = 2,785,318.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.