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Finding the Third Proportional to 766,957.50 and 1,651,644

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Solution

The third proportional to 766,957.50 and 1,651,644 is: 3,556,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,957.50 : 1,651,644 = 1,651,644 : x
  2. Step 2: Convert to fraction form
    766,957.50/1,651,644 = 1,651,644/x
  3. Step 3: Cross multiply
    766,957.50x = 1,651,644 × 1,651,644
  4. Step 4: Simplify right side
    766,957.50x = 2,727,927,902,736
  5. Step 5: Solve for x
    x = 2,727,927,902,736/766,957.50
  6. Step 6: Final answer
    x = 3,556,817.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.