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Finding the Third Proportional to 790,940 and 1,706,296

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Solution

The third proportional to 790,940 and 1,706,296 is: 3,680,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,940 : 1,706,296 = 1,706,296 : x
  2. Step 2: Convert to fraction form
    790,940/1,706,296 = 1,706,296/x
  3. Step 3: Cross multiply
    790,940x = 1,706,296 × 1,706,296
  4. Step 4: Simplify right side
    790,940x = 2,911,446,039,616
  5. Step 5: Solve for x
    x = 2,911,446,039,616/790,940
  6. Step 6: Final answer
    x = 3,680,994.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.