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Finding the Third Proportional to 513,186 and 1,125,516

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Solution

The third proportional to 513,186 and 1,125,516 is: 2,468,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,186 : 1,125,516 = 1,125,516 : x
  2. Step 2: Convert to fraction form
    513,186/1,125,516 = 1,125,516/x
  3. Step 3: Cross multiply
    513,186x = 1,125,516 × 1,125,516
  4. Step 4: Simplify right side
    513,186x = 1,266,786,266,256
  5. Step 5: Solve for x
    x = 1,266,786,266,256/513,186
  6. Step 6: Final answer
    x = 2,468,473.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.