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Finding the Third Proportional to 1,540,345 and 3,434,858

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Solution

The third proportional to 1,540,345 and 3,434,858 is: 7,659,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,345 : 3,434,858 = 3,434,858 : x
  2. Step 2: Convert to fraction form
    1,540,345/3,434,858 = 3,434,858/x
  3. Step 3: Cross multiply
    1,540,345x = 3,434,858 × 3,434,858
  4. Step 4: Simplify right side
    1,540,345x = 11,798,249,480,164
  5. Step 5: Solve for x
    x = 11,798,249,480,164/1,540,345
  6. Step 6: Final answer
    x = 7,659,485.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.