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Finding the Third Proportional to 578,652 and 895,896

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Solution

The third proportional to 578,652 and 895,896 is: 1,387,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,652 : 895,896 = 895,896 : x
  2. Step 2: Convert to fraction form
    578,652/895,896 = 895,896/x
  3. Step 3: Cross multiply
    578,652x = 895,896 × 895,896
  4. Step 4: Simplify right side
    578,652x = 802,629,642,816
  5. Step 5: Solve for x
    x = 802,629,642,816/578,652
  6. Step 6: Final answer
    x = 1,387,067.95

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Why These Related Problems?

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