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Finding the Third Proportional to 535,756 and 1,178,648

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Solution

The third proportional to 535,756 and 1,178,648 is: 2,592,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,756 : 1,178,648 = 1,178,648 : x
  2. Step 2: Convert to fraction form
    535,756/1,178,648 = 1,178,648/x
  3. Step 3: Cross multiply
    535,756x = 1,178,648 × 1,178,648
  4. Step 4: Simplify right side
    535,756x = 1,389,211,107,904
  5. Step 5: Solve for x
    x = 1,389,211,107,904/535,756
  6. Step 6: Final answer
    x = 2,592,992.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.