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Finding the Third Proportional to 565,530 and 1,219,603

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Solution

The third proportional to 565,530 and 1,219,603 is: 2,630,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,530 : 1,219,603 = 1,219,603 : x
  2. Step 2: Convert to fraction form
    565,530/1,219,603 = 1,219,603/x
  3. Step 3: Cross multiply
    565,530x = 1,219,603 × 1,219,603
  4. Step 4: Simplify right side
    565,530x = 1,487,431,477,609
  5. Step 5: Solve for x
    x = 1,487,431,477,609/565,530
  6. Step 6: Final answer
    x = 2,630,154.86

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Why These Related Problems?

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