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Finding the Third Proportional to 889,100 and 1,946,842

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Solution

The third proportional to 889,100 and 1,946,842 is: 4,262,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,100 : 1,946,842 = 1,946,842 : x
  2. Step 2: Convert to fraction form
    889,100/1,946,842 = 1,946,842/x
  3. Step 3: Cross multiply
    889,100x = 1,946,842 × 1,946,842
  4. Step 4: Simplify right side
    889,100x = 3,790,193,772,964
  5. Step 5: Solve for x
    x = 3,790,193,772,964/889,100
  6. Step 6: Final answer
    x = 4,262,955.54

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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.