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Finding the Third Proportional to 792,196 and 1,710,652

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Solution

The third proportional to 792,196 and 1,710,652 is: 3,693,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,196 : 1,710,652 = 1,710,652 : x
  2. Step 2: Convert to fraction form
    792,196/1,710,652 = 1,710,652/x
  3. Step 3: Cross multiply
    792,196x = 1,710,652 × 1,710,652
  4. Step 4: Simplify right side
    792,196x = 2,926,330,265,104
  5. Step 5: Solve for x
    x = 2,926,330,265,104/792,196
  6. Step 6: Final answer
    x = 3,693,947.29

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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.