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Finding the Third Proportional to 1,021,184.25 and 2,407,170.50

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Solution

The third proportional to 1,021,184.25 and 2,407,170.50 is: 5,674,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,184.25 : 2,407,170.50 = 2,407,170.50 : x
  2. Step 2: Convert to fraction form
    1,021,184.25/2,407,170.50 = 2,407,170.50/x
  3. Step 3: Cross multiply
    1,021,184.25x = 2,407,170.50 × 2,407,170.50
  4. Step 4: Simplify right side
    1,021,184.25x = 5,794,469,816,070.25
  5. Step 5: Solve for x
    x = 5,794,469,816,070.25/1,021,184.25
  6. Step 6: Final answer
    x = 5,674,264.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.