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Finding the Third Proportional to 384,008 and 897,130

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Solution

The third proportional to 384,008 and 897,130 is: 2,095,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,008 : 897,130 = 897,130 : x
  2. Step 2: Convert to fraction form
    384,008/897,130 = 897,130/x
  3. Step 3: Cross multiply
    384,008x = 897,130 × 897,130
  4. Step 4: Simplify right side
    384,008x = 804,842,236,900
  5. Step 5: Solve for x
    x = 804,842,236,900/384,008
  6. Step 6: Final answer
    x = 2,095,899.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.