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Finding the Third Proportional to 444,615 and 975,645

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Solution

The third proportional to 444,615 and 975,645 is: 2,140,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,615 : 975,645 = 975,645 : x
  2. Step 2: Convert to fraction form
    444,615/975,645 = 975,645/x
  3. Step 3: Cross multiply
    444,615x = 975,645 × 975,645
  4. Step 4: Simplify right side
    444,615x = 951,883,166,025
  5. Step 5: Solve for x
    x = 951,883,166,025/444,615
  6. Step 6: Final answer
    x = 2,140,915.55

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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.