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Finding the Third Proportional to 985,608 and 2,111,184

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Solution

The third proportional to 985,608 and 2,111,184 is: 4,522,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,608 : 2,111,184 = 2,111,184 : x
  2. Step 2: Convert to fraction form
    985,608/2,111,184 = 2,111,184/x
  3. Step 3: Cross multiply
    985,608x = 2,111,184 × 2,111,184
  4. Step 4: Simplify right side
    985,608x = 4,457,097,881,856
  5. Step 5: Solve for x
    x = 4,457,097,881,856/985,608
  6. Step 6: Final answer
    x = 4,522,181.11

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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.