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Finding the Third Proportional to 614,461 and 1,336,634

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Solution

The third proportional to 614,461 and 1,336,634 is: 2,907,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,461 : 1,336,634 = 1,336,634 : x
  2. Step 2: Convert to fraction form
    614,461/1,336,634 = 1,336,634/x
  3. Step 3: Cross multiply
    614,461x = 1,336,634 × 1,336,634
  4. Step 4: Simplify right side
    614,461x = 1,786,590,449,956
  5. Step 5: Solve for x
    x = 1,786,590,449,956/614,461
  6. Step 6: Final answer
    x = 2,907,573.39

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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.