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Finding the Third Proportional to 446,959.69 and 970,111.69

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Solution

The third proportional to 446,959.69 and 970,111.69 is: 2,105,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,959.69 : 970,111.69 = 970,111.69 : x
  2. Step 2: Convert to fraction form
    446,959.69/970,111.69 = 970,111.69/x
  3. Step 3: Cross multiply
    446,959.69x = 970,111.69 × 970,111.69
  4. Step 4: Simplify right side
    446,959.69x = 941,116,686,224.10
  5. Step 5: Solve for x
    x = 941,116,686,224.10/446,959.69
  6. Step 6: Final answer
    x = 2,105,596.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.