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Finding the Third Proportional to 1,184,645 and 2,558,420

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Solution

The third proportional to 1,184,645 and 2,558,420 is: 5,525,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,645 : 2,558,420 = 2,558,420 : x
  2. Step 2: Convert to fraction form
    1,184,645/2,558,420 = 2,558,420/x
  3. Step 3: Cross multiply
    1,184,645x = 2,558,420 × 2,558,420
  4. Step 4: Simplify right side
    1,184,645x = 6,545,512,896,400
  5. Step 5: Solve for x
    x = 6,545,512,896,400/1,184,645
  6. Step 6: Final answer
    x = 5,525,294.83

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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.