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Finding the Third Proportional to 1,077,823.50 and 2,354,013

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Solution

The third proportional to 1,077,823.50 and 2,354,013 is: 5,141,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,823.50 : 2,354,013 = 2,354,013 : x
  2. Step 2: Convert to fraction form
    1,077,823.50/2,354,013 = 2,354,013/x
  3. Step 3: Cross multiply
    1,077,823.50x = 2,354,013 × 2,354,013
  4. Step 4: Simplify right side
    1,077,823.50x = 5,541,377,204,169
  5. Step 5: Solve for x
    x = 5,541,377,204,169/1,077,823.50
  6. Step 6: Final answer
    x = 5,141,265.90

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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.