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Finding the Third Proportional to 1,632,559.50 and 3,812,293.50

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Solution

The third proportional to 1,632,559.50 and 3,812,293.50 is: 8,902,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,559.50 : 3,812,293.50 = 3,812,293.50 : x
  2. Step 2: Convert to fraction form
    1,632,559.50/3,812,293.50 = 3,812,293.50/x
  3. Step 3: Cross multiply
    1,632,559.50x = 3,812,293.50 × 3,812,293.50
  4. Step 4: Simplify right side
    1,632,559.50x = 14,533,581,730,142.25
  5. Step 5: Solve for x
    x = 14,533,581,730,142.25/1,632,559.50
  6. Step 6: Final answer
    x = 8,902,328.97

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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.