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Finding the Third Proportional to 1,579,056 and 2,398,120

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Solution

The third proportional to 1,579,056 and 2,398,120 is: 3,642,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,056 : 2,398,120 = 2,398,120 : x
  2. Step 2: Convert to fraction form
    1,579,056/2,398,120 = 2,398,120/x
  3. Step 3: Cross multiply
    1,579,056x = 2,398,120 × 2,398,120
  4. Step 4: Simplify right side
    1,579,056x = 5,750,979,534,400
  5. Step 5: Solve for x
    x = 5,750,979,534,400/1,579,056
  6. Step 6: Final answer
    x = 3,642,036.47

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Why These Related Problems?

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