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Finding the Third Proportional to 608,966 and 1,283,580

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Solution

The third proportional to 608,966 and 1,283,580 is: 2,705,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,966 : 1,283,580 = 1,283,580 : x
  2. Step 2: Convert to fraction form
    608,966/1,283,580 = 1,283,580/x
  3. Step 3: Cross multiply
    608,966x = 1,283,580 × 1,283,580
  4. Step 4: Simplify right side
    608,966x = 1,647,577,616,400
  5. Step 5: Solve for x
    x = 1,647,577,616,400/608,966
  6. Step 6: Final answer
    x = 2,705,533.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.