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Finding the Third Proportional to 892,360 and 1,340,516

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Solution

The third proportional to 892,360 and 1,340,516 is: 2,013,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,360 : 1,340,516 = 1,340,516 : x
  2. Step 2: Convert to fraction form
    892,360/1,340,516 = 1,340,516/x
  3. Step 3: Cross multiply
    892,360x = 1,340,516 × 1,340,516
  4. Step 4: Simplify right side
    892,360x = 1,796,983,146,256
  5. Step 5: Solve for x
    x = 1,796,983,146,256/892,360
  6. Step 6: Final answer
    x = 2,013,742.38

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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.