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Finding the Third Proportional to 1,287,733.50 and 1,748,914.88

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Solution

The third proportional to 1,287,733.50 and 1,748,914.88 is: 2,375,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,733.50 : 1,748,914.88 = 1,748,914.88 : x
  2. Step 2: Convert to fraction form
    1,287,733.50/1,748,914.88 = 1,748,914.88/x
  3. Step 3: Cross multiply
    1,287,733.50x = 1,748,914.88 × 1,748,914.88
  4. Step 4: Simplify right side
    1,287,733.50x = 3,058,703,239,996.27
  5. Step 5: Solve for x
    x = 3,058,703,239,996.27/1,287,733.50
  6. Step 6: Final answer
    x = 2,375,261.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.