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Finding the Third Proportional to 893,016 and 1,953,693

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Solution

The third proportional to 893,016 and 1,953,693 is: 4,274,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,016 : 1,953,693 = 1,953,693 : x
  2. Step 2: Convert to fraction form
    893,016/1,953,693 = 1,953,693/x
  3. Step 3: Cross multiply
    893,016x = 1,953,693 × 1,953,693
  4. Step 4: Simplify right side
    893,016x = 3,816,916,338,249
  5. Step 5: Solve for x
    x = 3,816,916,338,249/893,016
  6. Step 6: Final answer
    x = 4,274,185.84

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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.