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Finding the Third Proportional to 909,837.50 and 1,947,481

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Solution

The third proportional to 909,837.50 and 1,947,481 is: 4,168,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,837.50 : 1,947,481 = 1,947,481 : x
  2. Step 2: Convert to fraction form
    909,837.50/1,947,481 = 1,947,481/x
  3. Step 3: Cross multiply
    909,837.50x = 1,947,481 × 1,947,481
  4. Step 4: Simplify right side
    909,837.50x = 3,792,682,245,361
  5. Step 5: Solve for x
    x = 3,792,682,245,361/909,837.50
  6. Step 6: Final answer
    x = 4,168,527.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.