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Finding the Third Proportional to 1,102,194 and 1,686,015

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Solution

The third proportional to 1,102,194 and 1,686,015 is: 2,579,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,194 : 1,686,015 = 1,686,015 : x
  2. Step 2: Convert to fraction form
    1,102,194/1,686,015 = 1,686,015/x
  3. Step 3: Cross multiply
    1,102,194x = 1,686,015 × 1,686,015
  4. Step 4: Simplify right side
    1,102,194x = 2,842,646,580,225
  5. Step 5: Solve for x
    x = 2,842,646,580,225/1,102,194
  6. Step 6: Final answer
    x = 2,579,080.07

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Why These Related Problems?

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