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Finding the Third Proportional to 2,354,767.50 and 5,085,942

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Solution

The third proportional to 2,354,767.50 and 5,085,942 is: 10,984,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,767.50 : 5,085,942 = 5,085,942 : x
  2. Step 2: Convert to fraction form
    2,354,767.50/5,085,942 = 5,085,942/x
  3. Step 3: Cross multiply
    2,354,767.50x = 5,085,942 × 5,085,942
  4. Step 4: Simplify right side
    2,354,767.50x = 25,866,806,027,364
  5. Step 5: Solve for x
    x = 25,866,806,027,364/2,354,767.50
  6. Step 6: Final answer
    x = 10,984,866.25

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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.