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Finding the Third Proportional to 1,102,188 and 1,686,003

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Solution

The third proportional to 1,102,188 and 1,686,003 is: 2,579,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,188 : 1,686,003 = 1,686,003 : x
  2. Step 2: Convert to fraction form
    1,102,188/1,686,003 = 1,686,003/x
  3. Step 3: Cross multiply
    1,102,188x = 1,686,003 × 1,686,003
  4. Step 4: Simplify right side
    1,102,188x = 2,842,606,116,009
  5. Step 5: Solve for x
    x = 2,842,606,116,009/1,102,188
  6. Step 6: Final answer
    x = 2,579,057.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.