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Finding the Third Proportional to 1,102,678 and 2,374,307

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Solution

The third proportional to 1,102,678 and 2,374,307 is: 5,112,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,678 : 2,374,307 = 2,374,307 : x
  2. Step 2: Convert to fraction form
    1,102,678/2,374,307 = 2,374,307/x
  3. Step 3: Cross multiply
    1,102,678x = 2,374,307 × 2,374,307
  4. Step 4: Simplify right side
    1,102,678x = 5,637,333,730,249
  5. Step 5: Solve for x
    x = 5,637,333,730,249/1,102,678
  6. Step 6: Final answer
    x = 5,112,402.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.