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Finding the Third Proportional to 2,798,388 and 6,184,836

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Solution

The third proportional to 2,798,388 and 6,184,836 is: 13,669,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798,388 : 6,184,836 = 6,184,836 : x
  2. Step 2: Convert to fraction form
    2,798,388/6,184,836 = 6,184,836/x
  3. Step 3: Cross multiply
    2,798,388x = 6,184,836 × 6,184,836
  4. Step 4: Simplify right side
    2,798,388x = 38,252,196,346,896
  5. Step 5: Solve for x
    x = 38,252,196,346,896/2,798,388
  6. Step 6: Final answer
    x = 13,669,368.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.