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Finding the Third Proportional to 709,504 and 1,511,024

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Solution

The third proportional to 709,504 and 1,511,024 is: 3,218,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,504 : 1,511,024 = 1,511,024 : x
  2. Step 2: Convert to fraction form
    709,504/1,511,024 = 1,511,024/x
  3. Step 3: Cross multiply
    709,504x = 1,511,024 × 1,511,024
  4. Step 4: Simplify right side
    709,504x = 2,283,193,528,576
  5. Step 5: Solve for x
    x = 2,283,193,528,576/709,504
  6. Step 6: Final answer
    x = 3,218,013.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.