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Finding the Third Proportional to 1,259,619.16 and 2,572,108.54

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Solution

The third proportional to 1,259,619.16 and 2,572,108.54 is: 5,252,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,619.16 : 2,572,108.54 = 2,572,108.54 : x
  2. Step 2: Convert to fraction form
    1,259,619.16/2,572,108.54 = 2,572,108.54/x
  3. Step 3: Cross multiply
    1,259,619.16x = 2,572,108.54 × 2,572,108.54
  4. Step 4: Simplify right side
    1,259,619.16x = 6,615,742,346,764.89
  5. Step 5: Solve for x
    x = 6,615,742,346,764.89/1,259,619.16
  6. Step 6: Final answer
    x = 5,252,176.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.