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Finding the Third Proportional to 553,614 and 1,196,004

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Solution

The third proportional to 553,614 and 1,196,004 is: 2,583,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,614 : 1,196,004 = 1,196,004 : x
  2. Step 2: Convert to fraction form
    553,614/1,196,004 = 1,196,004/x
  3. Step 3: Cross multiply
    553,614x = 1,196,004 × 1,196,004
  4. Step 4: Simplify right side
    553,614x = 1,430,425,568,016
  5. Step 5: Solve for x
    x = 1,430,425,568,016/553,614
  6. Step 6: Final answer
    x = 2,583,795.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.