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Finding the Third Proportional to 765,760 and 1,685,888

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Solution

The third proportional to 765,760 and 1,685,888 is: 3,711,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,760 : 1,685,888 = 1,685,888 : x
  2. Step 2: Convert to fraction form
    765,760/1,685,888 = 1,685,888/x
  3. Step 3: Cross multiply
    765,760x = 1,685,888 × 1,685,888
  4. Step 4: Simplify right side
    765,760x = 2,842,218,348,544
  5. Step 5: Solve for x
    x = 2,842,218,348,544/765,760
  6. Step 6: Final answer
    x = 3,711,630.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.