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Finding the Third Proportional to 1,178,100 and 2,562,408

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Solution

The third proportional to 1,178,100 and 2,562,408 is: 5,573,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,100 : 2,562,408 = 2,562,408 : x
  2. Step 2: Convert to fraction form
    1,178,100/2,562,408 = 2,562,408/x
  3. Step 3: Cross multiply
    1,178,100x = 2,562,408 × 2,562,408
  4. Step 4: Simplify right side
    1,178,100x = 6,565,934,758,464
  5. Step 5: Solve for x
    x = 6,565,934,758,464/1,178,100
  6. Step 6: Final answer
    x = 5,573,325.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.