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Finding the Third Proportional to 892,364 and 1,340,522

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Solution

The third proportional to 892,364 and 1,340,522 is: 2,013,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,364 : 1,340,522 = 1,340,522 : x
  2. Step 2: Convert to fraction form
    892,364/1,340,522 = 1,340,522/x
  3. Step 3: Cross multiply
    892,364x = 1,340,522 × 1,340,522
  4. Step 4: Simplify right side
    892,364x = 1,796,999,232,484
  5. Step 5: Solve for x
    x = 1,796,999,232,484/892,364
  6. Step 6: Final answer
    x = 2,013,751.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.