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Finding the Third Proportional to 513,566 and 1,145,152

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Solution

The third proportional to 513,566 and 1,145,152 is: 2,553,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,566 : 1,145,152 = 1,145,152 : x
  2. Step 2: Convert to fraction form
    513,566/1,145,152 = 1,145,152/x
  3. Step 3: Cross multiply
    513,566x = 1,145,152 × 1,145,152
  4. Step 4: Simplify right side
    513,566x = 1,311,373,103,104
  5. Step 5: Solve for x
    x = 1,311,373,103,104/513,566
  6. Step 6: Final answer
    x = 2,553,465.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.