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Finding the Third Proportional to 982,606 and 2,148,509

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Solution

The third proportional to 982,606 and 2,148,509 is: 4,697,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,606 : 2,148,509 = 2,148,509 : x
  2. Step 2: Convert to fraction form
    982,606/2,148,509 = 2,148,509/x
  3. Step 3: Cross multiply
    982,606x = 2,148,509 × 2,148,509
  4. Step 4: Simplify right side
    982,606x = 4,616,090,923,081
  5. Step 5: Solve for x
    x = 4,616,090,923,081/982,606
  6. Step 6: Final answer
    x = 4,697,804.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.