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Finding the Third Proportional to 599,475 and 1,283,972

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Solution

The third proportional to 599,475 and 1,283,972 is: 2,750,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,475 : 1,283,972 = 1,283,972 : x
  2. Step 2: Convert to fraction form
    599,475/1,283,972 = 1,283,972/x
  3. Step 3: Cross multiply
    599,475x = 1,283,972 × 1,283,972
  4. Step 4: Simplify right side
    599,475x = 1,648,584,096,784
  5. Step 5: Solve for x
    x = 1,648,584,096,784/599,475
  6. Step 6: Final answer
    x = 2,750,046.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.