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Finding the Third Proportional to 608,964 and 1,283,576

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Solution

The third proportional to 608,964 and 1,283,576 is: 2,705,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,964 : 1,283,576 = 1,283,576 : x
  2. Step 2: Convert to fraction form
    608,964/1,283,576 = 1,283,576/x
  3. Step 3: Cross multiply
    608,964x = 1,283,576 × 1,283,576
  4. Step 4: Simplify right side
    608,964x = 1,647,567,347,776
  5. Step 5: Solve for x
    x = 1,647,567,347,776/608,964
  6. Step 6: Final answer
    x = 2,705,525.04

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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.