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Finding the Third Proportional to 1,302,740 and 2,828,296

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Solution

The third proportional to 1,302,740 and 2,828,296 is: 6,140,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,740 : 2,828,296 = 2,828,296 : x
  2. Step 2: Convert to fraction form
    1,302,740/2,828,296 = 2,828,296/x
  3. Step 3: Cross multiply
    1,302,740x = 2,828,296 × 2,828,296
  4. Step 4: Simplify right side
    1,302,740x = 7,999,258,263,616
  5. Step 5: Solve for x
    x = 7,999,258,263,616/1,302,740
  6. Step 6: Final answer
    x = 6,140,333.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.