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Finding the Third Proportional to 1,153,920.75 and 2,511,030

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Solution

The third proportional to 1,153,920.75 and 2,511,030 is: 5,464,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,920.75 : 2,511,030 = 2,511,030 : x
  2. Step 2: Convert to fraction form
    1,153,920.75/2,511,030 = 2,511,030/x
  3. Step 3: Cross multiply
    1,153,920.75x = 2,511,030 × 2,511,030
  4. Step 4: Simplify right side
    1,153,920.75x = 6,305,271,660,900
  5. Step 5: Solve for x
    x = 6,305,271,660,900/1,153,920.75
  6. Step 6: Final answer
    x = 5,464,215.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.