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Finding the Third Proportional to 1,206,122 and 2,511,490

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Solution

The third proportional to 1,206,122 and 2,511,490 is: 5,229,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,122 : 2,511,490 = 2,511,490 : x
  2. Step 2: Convert to fraction form
    1,206,122/2,511,490 = 2,511,490/x
  3. Step 3: Cross multiply
    1,206,122x = 2,511,490 × 2,511,490
  4. Step 4: Simplify right side
    1,206,122x = 6,307,582,020,100
  5. Step 5: Solve for x
    x = 6,307,582,020,100/1,206,122
  6. Step 6: Final answer
    x = 5,229,638.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.