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Finding the Third Proportional to 1,269,801.56 and 2,711,814.19

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Solution

The third proportional to 1,269,801.56 and 2,711,814.19 is: 5,791,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,801.56 : 2,711,814.19 = 2,711,814.19 : x
  2. Step 2: Convert to fraction form
    1,269,801.56/2,711,814.19 = 2,711,814.19/x
  3. Step 3: Cross multiply
    1,269,801.56x = 2,711,814.19 × 2,711,814.19
  4. Step 4: Simplify right side
    1,269,801.56x = 7,353,936,187,526.29
  5. Step 5: Solve for x
    x = 7,353,936,187,526.29/1,269,801.56
  6. Step 6: Final answer
    x = 5,791,405.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.