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Finding the Third Proportional to 610,615 and 1,305,262

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Solution

The third proportional to 610,615 and 1,305,262 is: 2,790,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,615 : 1,305,262 = 1,305,262 : x
  2. Step 2: Convert to fraction form
    610,615/1,305,262 = 1,305,262/x
  3. Step 3: Cross multiply
    610,615x = 1,305,262 × 1,305,262
  4. Step 4: Simplify right side
    610,615x = 1,703,708,888,644
  5. Step 5: Solve for x
    x = 1,703,708,888,644/610,615
  6. Step 6: Final answer
    x = 2,790,152.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.