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Finding the Third Proportional to 702,504 and 1,511,570

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Solution

The third proportional to 702,504 and 1,511,570 is: 3,252,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,504 : 1,511,570 = 1,511,570 : x
  2. Step 2: Convert to fraction form
    702,504/1,511,570 = 1,511,570/x
  3. Step 3: Cross multiply
    702,504x = 1,511,570 × 1,511,570
  4. Step 4: Simplify right side
    702,504x = 2,284,843,864,900
  5. Step 5: Solve for x
    x = 2,284,843,864,900/702,504
  6. Step 6: Final answer
    x = 3,252,428.26

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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.