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Finding the Third Proportional to 455,364 and 979,614

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Solution

The third proportional to 455,364 and 979,614 is: 2,107,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,364 : 979,614 = 979,614 : x
  2. Step 2: Convert to fraction form
    455,364/979,614 = 979,614/x
  3. Step 3: Cross multiply
    455,364x = 979,614 × 979,614
  4. Step 4: Simplify right side
    455,364x = 959,643,588,996
  5. Step 5: Solve for x
    x = 959,643,588,996/455,364
  6. Step 6: Final answer
    x = 2,107,420.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.