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Finding the Third Proportional to 1,927,016 and 4,197,192

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Solution

The third proportional to 1,927,016 and 4,197,192 is: 9,141,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,016 : 4,197,192 = 4,197,192 : x
  2. Step 2: Convert to fraction form
    1,927,016/4,197,192 = 4,197,192/x
  3. Step 3: Cross multiply
    1,927,016x = 4,197,192 × 4,197,192
  4. Step 4: Simplify right side
    1,927,016x = 17,616,420,684,864
  5. Step 5: Solve for x
    x = 17,616,420,684,864/1,927,016
  6. Step 6: Final answer
    x = 9,141,813.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.