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Finding the Third Proportional to 938,274.75 and 1,552,989.38

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Solution

The third proportional to 938,274.75 and 1,552,989.38 is: 2,570,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,274.75 : 1,552,989.38 = 1,552,989.38 : x
  2. Step 2: Convert to fraction form
    938,274.75/1,552,989.38 = 1,552,989.38/x
  3. Step 3: Cross multiply
    938,274.75x = 1,552,989.38 × 1,552,989.38
  4. Step 4: Simplify right side
    938,274.75x = 2,411,775,998,862.89
  5. Step 5: Solve for x
    x = 2,411,775,998,862.89/938,274.75
  6. Step 6: Final answer
    x = 2,570,436.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.