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Finding the Third Proportional to 797,364 and 1,705,374

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Solution

The third proportional to 797,364 and 1,705,374 is: 3,647,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,364 : 1,705,374 = 1,705,374 : x
  2. Step 2: Convert to fraction form
    797,364/1,705,374 = 1,705,374/x
  3. Step 3: Cross multiply
    797,364x = 1,705,374 × 1,705,374
  4. Step 4: Simplify right side
    797,364x = 2,908,300,479,876
  5. Step 5: Solve for x
    x = 2,908,300,479,876/797,364
  6. Step 6: Final answer
    x = 3,647,393.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.