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Finding the Third Proportional to 614,462 and 1,336,636

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Solution

The third proportional to 614,462 and 1,336,636 is: 2,907,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,462 : 1,336,636 = 1,336,636 : x
  2. Step 2: Convert to fraction form
    614,462/1,336,636 = 1,336,636/x
  3. Step 3: Cross multiply
    614,462x = 1,336,636 × 1,336,636
  4. Step 4: Simplify right side
    614,462x = 1,786,595,796,496
  5. Step 5: Solve for x
    x = 1,786,595,796,496/614,462
  6. Step 6: Final answer
    x = 2,907,577.35

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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.