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Finding the Third Proportional to 1,683,634.36 and 2,567,486.74

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Solution

The third proportional to 1,683,634.36 and 2,567,486.74 is: 3,915,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,634.36 : 2,567,486.74 = 2,567,486.74 : x
  2. Step 2: Convert to fraction form
    1,683,634.36/2,567,486.74 = 2,567,486.74/x
  3. Step 3: Cross multiply
    1,683,634.36x = 2,567,486.74 × 2,567,486.74
  4. Step 4: Simplify right side
    1,683,634.36x = 6,591,988,171,308.58
  5. Step 5: Solve for x
    x = 6,591,988,171,308.58/1,683,634.36
  6. Step 6: Final answer
    x = 3,915,332.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.