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Finding the Third Proportional to 1,632,549.94 and 3,812,271.33

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Solution

The third proportional to 1,632,549.94 and 3,812,271.33 is: 8,902,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,549.94 : 3,812,271.33 = 3,812,271.33 : x
  2. Step 2: Convert to fraction form
    1,632,549.94/3,812,271.33 = 3,812,271.33/x
  3. Step 3: Cross multiply
    1,632,549.94x = 3,812,271.33 × 3,812,271.33
  4. Step 4: Simplify right side
    1,632,549.94x = 14,533,412,679,243.95
  5. Step 5: Solve for x
    x = 14,533,412,679,243.95/1,632,549.94
  6. Step 6: Final answer
    x = 8,902,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.