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Finding the Third Proportional to 2,413,295.44 and 3,546,071.16

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Solution

The third proportional to 2,413,295.44 and 3,546,071.16 is: 5,210,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,295.44 : 3,546,071.16 = 3,546,071.16 : x
  2. Step 2: Convert to fraction form
    2,413,295.44/3,546,071.16 = 3,546,071.16/x
  3. Step 3: Cross multiply
    2,413,295.44x = 3,546,071.16 × 3,546,071.16
  4. Step 4: Simplify right side
    2,413,295.44x = 12,574,620,645,188.21
  5. Step 5: Solve for x
    x = 12,574,620,645,188.21/2,413,295.44
  6. Step 6: Final answer
    x = 5,210,559.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.