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Finding the Third Proportional to 845,820 and 1,823,680

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Solution

The third proportional to 845,820 and 1,823,680 is: 3,932,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,820 : 1,823,680 = 1,823,680 : x
  2. Step 2: Convert to fraction form
    845,820/1,823,680 = 1,823,680/x
  3. Step 3: Cross multiply
    845,820x = 1,823,680 × 1,823,680
  4. Step 4: Simplify right side
    845,820x = 3,325,808,742,400
  5. Step 5: Solve for x
    x = 3,325,808,742,400/845,820
  6. Step 6: Final answer
    x = 3,932,052.61

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