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Finding the Third Proportional to 1,713,180.38 and 3,809,316.94

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Solution

The third proportional to 1,713,180.38 and 3,809,316.94 is: 8,470,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,180.38 : 3,809,316.94 = 3,809,316.94 : x
  2. Step 2: Convert to fraction form
    1,713,180.38/3,809,316.94 = 3,809,316.94/x
  3. Step 3: Cross multiply
    1,713,180.38x = 3,809,316.94 × 3,809,316.94
  4. Step 4: Simplify right side
    1,713,180.38x = 14,510,895,530,324.38
  5. Step 5: Solve for x
    x = 14,510,895,530,324.38/1,713,180.38
  6. Step 6: Final answer
    x = 8,470,150.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.