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Finding the Third Proportional to 1,684,289 and 2,588,912

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Solution

The third proportional to 1,684,289 and 2,588,912 is: 3,979,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,289 : 2,588,912 = 2,588,912 : x
  2. Step 2: Convert to fraction form
    1,684,289/2,588,912 = 2,588,912/x
  3. Step 3: Cross multiply
    1,684,289x = 2,588,912 × 2,588,912
  4. Step 4: Simplify right side
    1,684,289x = 6,702,465,343,744
  5. Step 5: Solve for x
    x = 6,702,465,343,744/1,684,289
  6. Step 6: Final answer
    x = 3,979,403.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.