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Finding the Third Proportional to 784,842 and 1,695,132

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Solution

The third proportional to 784,842 and 1,695,132 is: 3,661,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,842 : 1,695,132 = 1,695,132 : x
  2. Step 2: Convert to fraction form
    784,842/1,695,132 = 1,695,132/x
  3. Step 3: Cross multiply
    784,842x = 1,695,132 × 1,695,132
  4. Step 4: Simplify right side
    784,842x = 2,873,472,497,424
  5. Step 5: Solve for x
    x = 2,873,472,497,424/784,842
  6. Step 6: Final answer
    x = 3,661,211.43

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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.