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Finding the Third Proportional to 689,574.75 and 1,462,080

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Solution

The third proportional to 689,574.75 and 1,462,080 is: 3,099,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,574.75 : 1,462,080 = 1,462,080 : x
  2. Step 2: Convert to fraction form
    689,574.75/1,462,080 = 1,462,080/x
  3. Step 3: Cross multiply
    689,574.75x = 1,462,080 × 1,462,080
  4. Step 4: Simplify right side
    689,574.75x = 2,137,677,926,400
  5. Step 5: Solve for x
    x = 2,137,677,926,400/689,574.75
  6. Step 6: Final answer
    x = 3,099,994.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.