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Finding the Third Proportional to 792,191 and 1,710,643

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Solution

The third proportional to 792,191 and 1,710,643 is: 3,693,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,191 : 1,710,643 = 1,710,643 : x
  2. Step 2: Convert to fraction form
    792,191/1,710,643 = 1,710,643/x
  3. Step 3: Cross multiply
    792,191x = 1,710,643 × 1,710,643
  4. Step 4: Simplify right side
    792,191x = 2,926,299,473,449
  5. Step 5: Solve for x
    x = 2,926,299,473,449/792,191
  6. Step 6: Final answer
    x = 3,693,931.73

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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.