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Finding the Third Proportional to 496,418.63 and 1,071,554.06

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Solution

The third proportional to 496,418.63 and 1,071,554.06 is: 2,313,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,418.63 : 1,071,554.06 = 1,071,554.06 : x
  2. Step 2: Convert to fraction form
    496,418.63/1,071,554.06 = 1,071,554.06/x
  3. Step 3: Cross multiply
    496,418.63x = 1,071,554.06 × 1,071,554.06
  4. Step 4: Simplify right side
    496,418.63x = 1,148,228,108,860.25
  5. Step 5: Solve for x
    x = 1,148,228,108,860.25/496,418.63
  6. Step 6: Final answer
    x = 2,313,023.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.