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Finding the Third Proportional to 1,914,420 and 2,963,941

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Solution

The third proportional to 1,914,420 and 2,963,941 is: 4,588,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,420 : 2,963,941 = 2,963,941 : x
  2. Step 2: Convert to fraction form
    1,914,420/2,963,941 = 2,963,941/x
  3. Step 3: Cross multiply
    1,914,420x = 2,963,941 × 2,963,941
  4. Step 4: Simplify right side
    1,914,420x = 8,784,946,251,481
  5. Step 5: Solve for x
    x = 8,784,946,251,481/1,914,420
  6. Step 6: Final answer
    x = 4,588,829.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.