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Finding the Third Proportional to 889,222 and 1,947,896

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Solution

The third proportional to 889,222 and 1,947,896 is: 4,266,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,222 : 1,947,896 = 1,947,896 : x
  2. Step 2: Convert to fraction form
    889,222/1,947,896 = 1,947,896/x
  3. Step 3: Cross multiply
    889,222x = 1,947,896 × 1,947,896
  4. Step 4: Simplify right side
    889,222x = 3,794,298,826,816
  5. Step 5: Solve for x
    x = 3,794,298,826,816/889,222
  6. Step 6: Final answer
    x = 4,266,987.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.