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Finding the Third Proportional to 506,470 and 1,183,230

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Solution

The third proportional to 506,470 and 1,183,230 is: 2,764,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,470 : 1,183,230 = 1,183,230 : x
  2. Step 2: Convert to fraction form
    506,470/1,183,230 = 1,183,230/x
  3. Step 3: Cross multiply
    506,470x = 1,183,230 × 1,183,230
  4. Step 4: Simplify right side
    506,470x = 1,400,033,232,900
  5. Step 5: Solve for x
    x = 1,400,033,232,900/506,470
  6. Step 6: Final answer
    x = 2,764,296.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.