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Finding the Third Proportional to 1,196,256 and 2,615,424

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Solution

The third proportional to 1,196,256 and 2,615,424 is: 5,718,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,256 : 2,615,424 = 2,615,424 : x
  2. Step 2: Convert to fraction form
    1,196,256/2,615,424 = 2,615,424/x
  3. Step 3: Cross multiply
    1,196,256x = 2,615,424 × 2,615,424
  4. Step 4: Simplify right side
    1,196,256x = 6,840,442,699,776
  5. Step 5: Solve for x
    x = 6,840,442,699,776/1,196,256
  6. Step 6: Final answer
    x = 5,718,209.73

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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.