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Finding the Third Proportional to 560,448 and 892,214

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Solution

The third proportional to 560,448 and 892,214 is: 1,420,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,448 : 892,214 = 892,214 : x
  2. Step 2: Convert to fraction form
    560,448/892,214 = 892,214/x
  3. Step 3: Cross multiply
    560,448x = 892,214 × 892,214
  4. Step 4: Simplify right side
    560,448x = 796,045,821,796
  5. Step 5: Solve for x
    x = 796,045,821,796/560,448
  6. Step 6: Final answer
    x = 1,420,374.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.