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Finding the Third Proportional to 1,238,470 and 2,561,896

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Solution

The third proportional to 1,238,470 and 2,561,896 is: 5,299,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,470 : 2,561,896 = 2,561,896 : x
  2. Step 2: Convert to fraction form
    1,238,470/2,561,896 = 2,561,896/x
  3. Step 3: Cross multiply
    1,238,470x = 2,561,896 × 2,561,896
  4. Step 4: Simplify right side
    1,238,470x = 6,563,311,114,816
  5. Step 5: Solve for x
    x = 6,563,311,114,816/1,238,470
  6. Step 6: Final answer
    x = 5,299,531.77

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.