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Finding the Third Proportional to 513,777 and 1,103,303

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Solution

The third proportional to 513,777 and 1,103,303 is: 2,369,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,777 : 1,103,303 = 1,103,303 : x
  2. Step 2: Convert to fraction form
    513,777/1,103,303 = 1,103,303/x
  3. Step 3: Cross multiply
    513,777x = 1,103,303 × 1,103,303
  4. Step 4: Simplify right side
    513,777x = 1,217,277,509,809
  5. Step 5: Solve for x
    x = 1,217,277,509,809/513,777
  6. Step 6: Final answer
    x = 2,369,272.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.