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Finding the Third Proportional to 845,810 and 1,823,658

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Solution

The third proportional to 845,810 and 1,823,658 is: 3,932,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,810 : 1,823,658 = 1,823,658 : x
  2. Step 2: Convert to fraction form
    845,810/1,823,658 = 1,823,658/x
  3. Step 3: Cross multiply
    845,810x = 1,823,658 × 1,823,658
  4. Step 4: Simplify right side
    845,810x = 3,325,728,500,964
  5. Step 5: Solve for x
    x = 3,325,728,500,964/845,810
  6. Step 6: Final answer
    x = 3,932,004.23

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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.