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Finding the Third Proportional to 853,301 and 1,828,039

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Solution

The third proportional to 853,301 and 1,828,039 is: 3,916,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,301 : 1,828,039 = 1,828,039 : x
  2. Step 2: Convert to fraction form
    853,301/1,828,039 = 1,828,039/x
  3. Step 3: Cross multiply
    853,301x = 1,828,039 × 1,828,039
  4. Step 4: Simplify right side
    853,301x = 3,341,726,585,521
  5. Step 5: Solve for x
    x = 3,341,726,585,521/853,301
  6. Step 6: Final answer
    x = 3,916,234.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.