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Finding the Third Proportional to 792,186 and 1,710,633

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Solution

The third proportional to 792,186 and 1,710,633 is: 3,693,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,186 : 1,710,633 = 1,710,633 : x
  2. Step 2: Convert to fraction form
    792,186/1,710,633 = 1,710,633/x
  3. Step 3: Cross multiply
    792,186x = 1,710,633 × 1,710,633
  4. Step 4: Simplify right side
    792,186x = 2,926,265,260,689
  5. Step 5: Solve for x
    x = 2,926,265,260,689/792,186
  6. Step 6: Final answer
    x = 3,693,911.86

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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.