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Finding the Third Proportional to 1,534,253 and 2,382,164

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Solution

The third proportional to 1,534,253 and 2,382,164 is: 3,698,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,253 : 2,382,164 = 2,382,164 : x
  2. Step 2: Convert to fraction form
    1,534,253/2,382,164 = 2,382,164/x
  3. Step 3: Cross multiply
    1,534,253x = 2,382,164 × 2,382,164
  4. Step 4: Simplify right side
    1,534,253x = 5,674,705,322,896
  5. Step 5: Solve for x
    x = 5,674,705,322,896/1,534,253
  6. Step 6: Final answer
    x = 3,698,676.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.