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Finding the Third Proportional to 1,914,400 and 2,963,921

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Solution

The third proportional to 1,914,400 and 2,963,921 is: 4,588,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,400 : 2,963,921 = 2,963,921 : x
  2. Step 2: Convert to fraction form
    1,914,400/2,963,921 = 2,963,921/x
  3. Step 3: Cross multiply
    1,914,400x = 2,963,921 × 2,963,921
  4. Step 4: Simplify right side
    1,914,400x = 8,784,827,694,241
  5. Step 5: Solve for x
    x = 8,784,827,694,241/1,914,400
  6. Step 6: Final answer
    x = 4,588,815.13

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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.