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Finding the Third Proportional to 1,110,223.13 and 2,307,709.13

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Solution

The third proportional to 1,110,223.13 and 2,307,709.13 is: 4,796,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,223.13 : 2,307,709.13 = 2,307,709.13 : x
  2. Step 2: Convert to fraction form
    1,110,223.13/2,307,709.13 = 2,307,709.13/x
  3. Step 3: Cross multiply
    1,110,223.13x = 2,307,709.13 × 2,307,709.13
  4. Step 4: Simplify right side
    1,110,223.13x = 5,325,521,405,608.27
  5. Step 5: Solve for x
    x = 5,325,521,405,608.27/1,110,223.13
  6. Step 6: Final answer
    x = 4,796,802.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.