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Finding the Third Proportional to 1,615,770.56 and 2,457,227.81

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Solution

The third proportional to 1,615,770.56 and 2,457,227.81 is: 3,736,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,770.56 : 2,457,227.81 = 2,457,227.81 : x
  2. Step 2: Convert to fraction form
    1,615,770.56/2,457,227.81 = 2,457,227.81/x
  3. Step 3: Cross multiply
    1,615,770.56x = 2,457,227.81 × 2,457,227.81
  4. Step 4: Simplify right side
    1,615,770.56x = 6,037,968,522,523.54
  5. Step 5: Solve for x
    x = 6,037,968,522,523.54/1,615,770.56
  6. Step 6: Final answer
    x = 3,736,897.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.