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Finding the Third Proportional to 792,430 and 1,650,524

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Solution

The third proportional to 792,430 and 1,650,524 is: 3,437,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,430 : 1,650,524 = 1,650,524 : x
  2. Step 2: Convert to fraction form
    792,430/1,650,524 = 1,650,524/x
  3. Step 3: Cross multiply
    792,430x = 1,650,524 × 1,650,524
  4. Step 4: Simplify right side
    792,430x = 2,724,229,474,576
  5. Step 5: Solve for x
    x = 2,724,229,474,576/792,430
  6. Step 6: Final answer
    x = 3,437,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.