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Finding the Third Proportional to 786,917.53 and 1,699,435.69

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Solution

The third proportional to 786,917.53 and 1,699,435.69 is: 3,670,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,917.53 : 1,699,435.69 = 1,699,435.69 : x
  2. Step 2: Convert to fraction form
    786,917.53/1,699,435.69 = 1,699,435.69/x
  3. Step 3: Cross multiply
    786,917.53x = 1,699,435.69 × 1,699,435.69
  4. Step 4: Simplify right side
    786,917.53x = 2,888,081,655,948.60
  5. Step 5: Solve for x
    x = 2,888,081,655,948.60/786,917.53
  6. Step 6: Final answer
    x = 3,670,119.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.