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Finding the Third Proportional to 1,316,315.81 and 2,022,372.56

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Solution

The third proportional to 1,316,315.81 and 2,022,372.56 is: 3,107,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,315.81 : 2,022,372.56 = 2,022,372.56 : x
  2. Step 2: Convert to fraction form
    1,316,315.81/2,022,372.56 = 2,022,372.56/x
  3. Step 3: Cross multiply
    1,316,315.81x = 2,022,372.56 × 2,022,372.56
  4. Step 4: Simplify right side
    1,316,315.81x = 4,089,990,781,552.82
  5. Step 5: Solve for x
    x = 4,089,990,781,552.82/1,316,315.81
  6. Step 6: Final answer
    x = 3,107,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.