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Finding the Third Proportional to 451,363 and 983,686

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Solution

The third proportional to 451,363 and 983,686 is: 2,143,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,363 : 983,686 = 983,686 : x
  2. Step 2: Convert to fraction form
    451,363/983,686 = 983,686/x
  3. Step 3: Cross multiply
    451,363x = 983,686 × 983,686
  4. Step 4: Simplify right side
    451,363x = 967,638,146,596
  5. Step 5: Solve for x
    x = 967,638,146,596/451,363
  6. Step 6: Final answer
    x = 2,143,813.62

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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.