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Finding the Third Proportional to 1,349,190 and 2,051,412

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Solution

The third proportional to 1,349,190 and 2,051,412 is: 3,119,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,190 : 2,051,412 = 2,051,412 : x
  2. Step 2: Convert to fraction form
    1,349,190/2,051,412 = 2,051,412/x
  3. Step 3: Cross multiply
    1,349,190x = 2,051,412 × 2,051,412
  4. Step 4: Simplify right side
    1,349,190x = 4,208,291,193,744
  5. Step 5: Solve for x
    x = 4,208,291,193,744/1,349,190
  6. Step 6: Final answer
    x = 3,119,124.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.