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Finding the Third Proportional to 702,650 and 1,511,893

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Solution

The third proportional to 702,650 and 1,511,893 is: 3,253,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,650 : 1,511,893 = 1,511,893 : x
  2. Step 2: Convert to fraction form
    702,650/1,511,893 = 1,511,893/x
  3. Step 3: Cross multiply
    702,650x = 1,511,893 × 1,511,893
  4. Step 4: Simplify right side
    702,650x = 2,285,820,443,449
  5. Step 5: Solve for x
    x = 2,285,820,443,449/702,650
  6. Step 6: Final answer
    x = 3,253,142.31

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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.