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Finding the Third Proportional to 2,531,470 and 3,381,594

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Solution

The third proportional to 2,531,470 and 3,381,594 is: 4,517,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,470 : 3,381,594 = 3,381,594 : x
  2. Step 2: Convert to fraction form
    2,531,470/3,381,594 = 3,381,594/x
  3. Step 3: Cross multiply
    2,531,470x = 3,381,594 × 3,381,594
  4. Step 4: Simplify right side
    2,531,470x = 11,435,177,980,836
  5. Step 5: Solve for x
    x = 11,435,177,980,836/2,531,470
  6. Step 6: Final answer
    x = 4,517,208.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.