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Finding the Third Proportional to 2,413,296 and 3,546,072

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Solution

The third proportional to 2,413,296 and 3,546,072 is: 5,210,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,296 : 3,546,072 = 3,546,072 : x
  2. Step 2: Convert to fraction form
    2,413,296/3,546,072 = 3,546,072/x
  3. Step 3: Cross multiply
    2,413,296x = 3,546,072 × 3,546,072
  4. Step 4: Simplify right side
    2,413,296x = 12,574,626,629,184
  5. Step 5: Solve for x
    x = 12,574,626,629,184/2,413,296
  6. Step 6: Final answer
    x = 5,210,561.25

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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.