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Finding the Third Proportional to 1,596,398 and 3,414,172

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Solution

The third proportional to 1,596,398 and 3,414,172 is: 7,301,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,398 : 3,414,172 = 3,414,172 : x
  2. Step 2: Convert to fraction form
    1,596,398/3,414,172 = 3,414,172/x
  3. Step 3: Cross multiply
    1,596,398x = 3,414,172 × 3,414,172
  4. Step 4: Simplify right side
    1,596,398x = 11,656,570,445,584
  5. Step 5: Solve for x
    x = 11,656,570,445,584/1,596,398
  6. Step 6: Final answer
    x = 7,301,794.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.