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Finding the Third Proportional to 898,929 and 1,947,546

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Solution

The third proportional to 898,929 and 1,947,546 is: 4,219,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,929 : 1,947,546 = 1,947,546 : x
  2. Step 2: Convert to fraction form
    898,929/1,947,546 = 1,947,546/x
  3. Step 3: Cross multiply
    898,929x = 1,947,546 × 1,947,546
  4. Step 4: Simplify right side
    898,929x = 3,792,935,422,116
  5. Step 5: Solve for x
    x = 3,792,935,422,116/898,929
  6. Step 6: Final answer
    x = 4,219,393.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.