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Finding the Third Proportional to 845,864 and 1,823,764

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Solution

The third proportional to 845,864 and 1,823,764 is: 3,932,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,864 : 1,823,764 = 1,823,764 : x
  2. Step 2: Convert to fraction form
    845,864/1,823,764 = 1,823,764/x
  3. Step 3: Cross multiply
    845,864x = 1,823,764 × 1,823,764
  4. Step 4: Simplify right side
    845,864x = 3,326,115,127,696
  5. Step 5: Solve for x
    x = 3,326,115,127,696/845,864
  6. Step 6: Final answer
    x = 3,932,210.29

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Why These Related Problems?

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