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Finding the Third Proportional to 465,990.47 and 1,036,956.94

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Solution

The third proportional to 465,990.47 and 1,036,956.94 is: 2,307,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,990.47 : 1,036,956.94 = 1,036,956.94 : x
  2. Step 2: Convert to fraction form
    465,990.47/1,036,956.94 = 1,036,956.94/x
  3. Step 3: Cross multiply
    465,990.47x = 1,036,956.94 × 1,036,956.94
  4. Step 4: Simplify right side
    465,990.47x = 1,075,279,690,229.38
  5. Step 5: Solve for x
    x = 1,075,279,690,229.38/465,990.47
  6. Step 6: Final answer
    x = 2,307,514.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.