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Finding the Third Proportional to 784,902.50 and 1,695,283

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Solution

The third proportional to 784,902.50 and 1,695,283 is: 3,661,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,902.50 : 1,695,283 = 1,695,283 : x
  2. Step 2: Convert to fraction form
    784,902.50/1,695,283 = 1,695,283/x
  3. Step 3: Cross multiply
    784,902.50x = 1,695,283 × 1,695,283
  4. Step 4: Simplify right side
    784,902.50x = 2,873,984,450,089
  5. Step 5: Solve for x
    x = 2,873,984,450,089/784,902.50
  6. Step 6: Final answer
    x = 3,661,581.47

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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.