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Finding the Third Proportional to 996,085.69 and 2,111,874.19

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Solution

The third proportional to 996,085.69 and 2,111,874.19 is: 4,477,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,085.69 : 2,111,874.19 = 2,111,874.19 : x
  2. Step 2: Convert to fraction form
    996,085.69/2,111,874.19 = 2,111,874.19/x
  3. Step 3: Cross multiply
    996,085.69x = 2,111,874.19 × 2,111,874.19
  4. Step 4: Simplify right side
    996,085.69x = 4,460,012,583,828.79
  5. Step 5: Solve for x
    x = 4,460,012,583,828.79/996,085.69
  6. Step 6: Final answer
    x = 4,477,539.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.