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Finding the Third Proportional to 884,002 and 1,359,564

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Solution

The third proportional to 884,002 and 1,359,564 is: 2,090,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,002 : 1,359,564 = 1,359,564 : x
  2. Step 2: Convert to fraction form
    884,002/1,359,564 = 1,359,564/x
  3. Step 3: Cross multiply
    884,002x = 1,359,564 × 1,359,564
  4. Step 4: Simplify right side
    884,002x = 1,848,414,270,096
  5. Step 5: Solve for x
    x = 1,848,414,270,096/884,002
  6. Step 6: Final answer
    x = 2,090,961.64

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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.