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Finding the Third Proportional to 2,145,936 and 4,640,340

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Solution

The third proportional to 2,145,936 and 4,640,340 is: 10,034,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,936 : 4,640,340 = 4,640,340 : x
  2. Step 2: Convert to fraction form
    2,145,936/4,640,340 = 4,640,340/x
  3. Step 3: Cross multiply
    2,145,936x = 4,640,340 × 4,640,340
  4. Step 4: Simplify right side
    2,145,936x = 21,532,755,315,600
  5. Step 5: Solve for x
    x = 21,532,755,315,600/2,145,936
  6. Step 6: Final answer
    x = 10,034,202.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.