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Finding the Third Proportional to 1,126,134.14 and 2,429,415.28

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Solution

The third proportional to 1,126,134.14 and 2,429,415.28 is: 5,240,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126,134.14 : 2,429,415.28 = 2,429,415.28 : x
  2. Step 2: Convert to fraction form
    1,126,134.14/2,429,415.28 = 2,429,415.28/x
  3. Step 3: Cross multiply
    1,126,134.14x = 2,429,415.28 × 2,429,415.28
  4. Step 4: Simplify right side
    1,126,134.14x = 5,902,058,608,771.02
  5. Step 5: Solve for x
    x = 5,902,058,608,771.02/1,126,134.14
  6. Step 6: Final answer
    x = 5,240,990.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.