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Finding the Third Proportional to 624,269 and 1,346,872

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Solution

The third proportional to 624,269 and 1,346,872 is: 2,905,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,269 : 1,346,872 = 1,346,872 : x
  2. Step 2: Convert to fraction form
    624,269/1,346,872 = 1,346,872/x
  3. Step 3: Cross multiply
    624,269x = 1,346,872 × 1,346,872
  4. Step 4: Simplify right side
    624,269x = 1,814,064,184,384
  5. Step 5: Solve for x
    x = 1,814,064,184,384/624,269
  6. Step 6: Final answer
    x = 2,905,901.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.