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Finding the Third Proportional to 451,615 and 973,729

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Solution

The third proportional to 451,615 and 973,729 is: 2,099,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,615 : 973,729 = 973,729 : x
  2. Step 2: Convert to fraction form
    451,615/973,729 = 973,729/x
  3. Step 3: Cross multiply
    451,615x = 973,729 × 973,729
  4. Step 4: Simplify right side
    451,615x = 948,148,165,441
  5. Step 5: Solve for x
    x = 948,148,165,441/451,615
  6. Step 6: Final answer
    x = 2,099,461.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.