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Finding the Third Proportional to 2,163,416 and 4,616,392

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Solution

The third proportional to 2,163,416 and 4,616,392 is: 9,850,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,416 : 4,616,392 = 4,616,392 : x
  2. Step 2: Convert to fraction form
    2,163,416/4,616,392 = 4,616,392/x
  3. Step 3: Cross multiply
    2,163,416x = 4,616,392 × 4,616,392
  4. Step 4: Simplify right side
    2,163,416x = 21,311,075,097,664
  5. Step 5: Solve for x
    x = 21,311,075,097,664/2,163,416
  6. Step 6: Final answer
    x = 9,850,659.84

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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.