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Finding the Third Proportional to 1,683,009 and 3,651,357

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Solution

The third proportional to 1,683,009 and 3,651,357 is: 7,921,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,009 : 3,651,357 = 3,651,357 : x
  2. Step 2: Convert to fraction form
    1,683,009/3,651,357 = 3,651,357/x
  3. Step 3: Cross multiply
    1,683,009x = 3,651,357 × 3,651,357
  4. Step 4: Simplify right side
    1,683,009x = 13,332,407,941,449
  5. Step 5: Solve for x
    x = 13,332,407,941,449/1,683,009
  6. Step 6: Final answer
    x = 7,921,768.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.