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Finding the Third Proportional to 2,054,030 and 4,432,827.25

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Solution

The third proportional to 2,054,030 and 4,432,827.25 is: 9,566,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,030 : 4,432,827.25 = 4,432,827.25 : x
  2. Step 2: Convert to fraction form
    2,054,030/4,432,827.25 = 4,432,827.25/x
  3. Step 3: Cross multiply
    2,054,030x = 4,432,827.25 × 4,432,827.25
  4. Step 4: Simplify right side
    2,054,030x = 19,649,957,428,342.56
  5. Step 5: Solve for x
    x = 19,649,957,428,342.56/2,054,030
  6. Step 6: Final answer
    x = 9,566,538.67

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