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Finding the Third Proportional to 513,180 and 1,125,504

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Solution

The third proportional to 513,180 and 1,125,504 is: 2,468,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,180 : 1,125,504 = 1,125,504 : x
  2. Step 2: Convert to fraction form
    513,180/1,125,504 = 1,125,504/x
  3. Step 3: Cross multiply
    513,180x = 1,125,504 × 1,125,504
  4. Step 4: Simplify right side
    513,180x = 1,266,759,254,016
  5. Step 5: Solve for x
    x = 1,266,759,254,016/513,180
  6. Step 6: Final answer
    x = 2,468,450.16

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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.