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Finding the Third Proportional to 968,880 and 2,124,384

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Solution

The third proportional to 968,880 and 2,124,384 is: 4,657,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,880 : 2,124,384 = 2,124,384 : x
  2. Step 2: Convert to fraction form
    968,880/2,124,384 = 2,124,384/x
  3. Step 3: Cross multiply
    968,880x = 2,124,384 × 2,124,384
  4. Step 4: Simplify right side
    968,880x = 4,513,007,379,456
  5. Step 5: Solve for x
    x = 4,513,007,379,456/968,880
  6. Step 6: Final answer
    x = 4,657,963.19

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Why These Related Problems?

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