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Finding the Third Proportional to 930,009 and 1,316,325

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Solution

The third proportional to 930,009 and 1,316,325 is: 1,863,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,009 : 1,316,325 = 1,316,325 : x
  2. Step 2: Convert to fraction form
    930,009/1,316,325 = 1,316,325/x
  3. Step 3: Cross multiply
    930,009x = 1,316,325 × 1,316,325
  4. Step 4: Simplify right side
    930,009x = 1,732,711,505,625
  5. Step 5: Solve for x
    x = 1,732,711,505,625/930,009
  6. Step 6: Final answer
    x = 1,863,112.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.