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Finding the Third Proportional to 465,615 and 1,016,523

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Solution

The third proportional to 465,615 and 1,016,523 is: 2,219,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,615 : 1,016,523 = 1,016,523 : x
  2. Step 2: Convert to fraction form
    465,615/1,016,523 = 1,016,523/x
  3. Step 3: Cross multiply
    465,615x = 1,016,523 × 1,016,523
  4. Step 4: Simplify right side
    465,615x = 1,033,319,009,529
  5. Step 5: Solve for x
    x = 1,033,319,009,529/465,615
  6. Step 6: Final answer
    x = 2,219,256.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.