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Finding the Third Proportional to 1,919,378 and 4,200,340

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Solution

The third proportional to 1,919,378 and 4,200,340 is: 9,191,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,378 : 4,200,340 = 4,200,340 : x
  2. Step 2: Convert to fraction form
    1,919,378/4,200,340 = 4,200,340/x
  3. Step 3: Cross multiply
    1,919,378x = 4,200,340 × 4,200,340
  4. Step 4: Simplify right side
    1,919,378x = 17,642,856,115,600
  5. Step 5: Solve for x
    x = 17,642,856,115,600/1,919,378
  6. Step 6: Final answer
    x = 9,191,965.37

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