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Finding the Third Proportional to 797,670 and 1,735,308

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Solution

The third proportional to 797,670 and 1,735,308 is: 3,775,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,670 : 1,735,308 = 1,735,308 : x
  2. Step 2: Convert to fraction form
    797,670/1,735,308 = 1,735,308/x
  3. Step 3: Cross multiply
    797,670x = 1,735,308 × 1,735,308
  4. Step 4: Simplify right side
    797,670x = 3,011,293,854,864
  5. Step 5: Solve for x
    x = 3,011,293,854,864/797,670
  6. Step 6: Final answer
    x = 3,775,112.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.