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Finding the Third Proportional to 931,939 and 2,038,324

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Solution

The third proportional to 931,939 and 2,038,324 is: 4,458,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,939 : 2,038,324 = 2,038,324 : x
  2. Step 2: Convert to fraction form
    931,939/2,038,324 = 2,038,324/x
  3. Step 3: Cross multiply
    931,939x = 2,038,324 × 2,038,324
  4. Step 4: Simplify right side
    931,939x = 4,154,764,728,976
  5. Step 5: Solve for x
    x = 4,154,764,728,976/931,939
  6. Step 6: Final answer
    x = 4,458,193.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.