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Finding the Third Proportional to 578,202 and 889,848

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Solution

The third proportional to 578,202 and 889,848 is: 1,369,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,202 : 889,848 = 889,848 : x
  2. Step 2: Convert to fraction form
    578,202/889,848 = 889,848/x
  3. Step 3: Cross multiply
    578,202x = 889,848 × 889,848
  4. Step 4: Simplify right side
    578,202x = 791,829,463,104
  5. Step 5: Solve for x
    x = 791,829,463,104/578,202
  6. Step 6: Final answer
    x = 1,369,468.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.