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Finding the Third Proportional to 1,361,088.56 and 2,089,217.18

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Solution

The third proportional to 1,361,088.56 and 2,089,217.18 is: 3,206,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,088.56 : 2,089,217.18 = 2,089,217.18 : x
  2. Step 2: Convert to fraction form
    1,361,088.56/2,089,217.18 = 2,089,217.18/x
  3. Step 3: Cross multiply
    1,361,088.56x = 2,089,217.18 × 2,089,217.18
  4. Step 4: Simplify right side
    1,361,088.56x = 4,364,828,423,901.39
  5. Step 5: Solve for x
    x = 4,364,828,423,901.39/1,361,088.56
  6. Step 6: Final answer
    x = 3,206,865.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.