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Finding the Third Proportional to 2,163,410 and 4,616,384

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Solution

The third proportional to 2,163,410 and 4,616,384 is: 9,850,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,410 : 4,616,384 = 4,616,384 : x
  2. Step 2: Convert to fraction form
    2,163,410/4,616,384 = 4,616,384/x
  3. Step 3: Cross multiply
    2,163,410x = 4,616,384 × 4,616,384
  4. Step 4: Simplify right side
    2,163,410x = 21,311,001,235,456
  5. Step 5: Solve for x
    x = 21,311,001,235,456/2,163,410
  6. Step 6: Final answer
    x = 9,850,653.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.