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Finding the Third Proportional to 790,704 and 1,705,824

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Solution

The third proportional to 790,704 and 1,705,824 is: 3,680,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,704 : 1,705,824 = 1,705,824 : x
  2. Step 2: Convert to fraction form
    790,704/1,705,824 = 1,705,824/x
  3. Step 3: Cross multiply
    790,704x = 1,705,824 × 1,705,824
  4. Step 4: Simplify right side
    790,704x = 2,909,835,518,976
  5. Step 5: Solve for x
    x = 2,909,835,518,976/790,704
  6. Step 6: Final answer
    x = 3,680,056.66

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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.