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Finding the Third Proportional to 892,385 and 1,359,489

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Solution

The third proportional to 892,385 and 1,359,489 is: 2,071,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,385 : 1,359,489 = 1,359,489 : x
  2. Step 2: Convert to fraction form
    892,385/1,359,489 = 1,359,489/x
  3. Step 3: Cross multiply
    892,385x = 1,359,489 × 1,359,489
  4. Step 4: Simplify right side
    892,385x = 1,848,210,341,121
  5. Step 5: Solve for x
    x = 1,848,210,341,121/892,385
  6. Step 6: Final answer
    x = 2,071,090.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.