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Finding the Third Proportional to 909,537.19 and 1,980,435.66

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Solution

The third proportional to 909,537.19 and 1,980,435.66 is: 4,312,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,537.19 : 1,980,435.66 = 1,980,435.66 : x
  2. Step 2: Convert to fraction form
    909,537.19/1,980,435.66 = 1,980,435.66/x
  3. Step 3: Cross multiply
    909,537.19x = 1,980,435.66 × 1,980,435.66
  4. Step 4: Simplify right side
    909,537.19x = 3,922,125,388,546.37
  5. Step 5: Solve for x
    x = 3,922,125,388,546.37/909,537.19
  6. Step 6: Final answer
    x = 4,312,221.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.