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Finding the Third Proportional to 919,188 and 1,985,952

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Solution

The third proportional to 919,188 and 1,985,952 is: 4,290,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,188 : 1,985,952 = 1,985,952 : x
  2. Step 2: Convert to fraction form
    919,188/1,985,952 = 1,985,952/x
  3. Step 3: Cross multiply
    919,188x = 1,985,952 × 1,985,952
  4. Step 4: Simplify right side
    919,188x = 3,944,005,346,304
  5. Step 5: Solve for x
    x = 3,944,005,346,304/919,188
  6. Step 6: Final answer
    x = 4,290,749.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.