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Finding the Third Proportional to 614,460 and 1,336,632

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Solution

The third proportional to 614,460 and 1,336,632 is: 2,907,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,460 : 1,336,632 = 1,336,632 : x
  2. Step 2: Convert to fraction form
    614,460/1,336,632 = 1,336,632/x
  3. Step 3: Cross multiply
    614,460x = 1,336,632 × 1,336,632
  4. Step 4: Simplify right side
    614,460x = 1,786,585,103,424
  5. Step 5: Solve for x
    x = 1,786,585,103,424/614,460
  6. Step 6: Final answer
    x = 2,907,569.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.