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Finding the Third Proportional to 1,360,441.69 and 1,966,619.81

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Solution

The third proportional to 1,360,441.69 and 1,966,619.81 is: 2,842,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,441.69 : 1,966,619.81 = 1,966,619.81 : x
  2. Step 2: Convert to fraction form
    1,360,441.69/1,966,619.81 = 1,966,619.81/x
  3. Step 3: Cross multiply
    1,360,441.69x = 1,966,619.81 × 1,966,619.81
  4. Step 4: Simplify right side
    1,360,441.69x = 3,867,593,486,917.54
  5. Step 5: Solve for x
    x = 3,867,593,486,917.54/1,360,441.69
  6. Step 6: Final answer
    x = 2,842,895.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.