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Finding the Third Proportional to 413,615 and 911,032

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Solution

The third proportional to 413,615 and 911,032 is: 2,006,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615 : 911,032 = 911,032 : x
  2. Step 2: Convert to fraction form
    413,615/911,032 = 911,032/x
  3. Step 3: Cross multiply
    413,615x = 911,032 × 911,032
  4. Step 4: Simplify right side
    413,615x = 829,979,305,024
  5. Step 5: Solve for x
    x = 829,979,305,024/413,615
  6. Step 6: Final answer
    x = 2,006,647.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.