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Finding the Third Proportional to 898,368.50 and 1,947,823

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Solution

The third proportional to 898,368.50 and 1,947,823 is: 4,223,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,368.50 : 1,947,823 = 1,947,823 : x
  2. Step 2: Convert to fraction form
    898,368.50/1,947,823 = 1,947,823/x
  3. Step 3: Cross multiply
    898,368.50x = 1,947,823 × 1,947,823
  4. Step 4: Simplify right side
    898,368.50x = 3,794,014,439,329
  5. Step 5: Solve for x
    x = 3,794,014,439,329/898,368.50
  6. Step 6: Final answer
    x = 4,223,227.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.