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Finding the Third Proportional to 570,267 and 1,210,194

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Solution

The third proportional to 570,267 and 1,210,194 is: 2,568,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,267 : 1,210,194 = 1,210,194 : x
  2. Step 2: Convert to fraction form
    570,267/1,210,194 = 1,210,194/x
  3. Step 3: Cross multiply
    570,267x = 1,210,194 × 1,210,194
  4. Step 4: Simplify right side
    570,267x = 1,464,569,517,636
  5. Step 5: Solve for x
    x = 1,464,569,517,636/570,267
  6. Step 6: Final answer
    x = 2,568,217.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.