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Finding the Third Proportional to 445,371.75 and 971,128.13

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Solution

The third proportional to 445,371.75 and 971,128.13 is: 2,117,534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,371.75 : 971,128.13 = 971,128.13 : x
  2. Step 2: Convert to fraction form
    445,371.75/971,128.13 = 971,128.13/x
  3. Step 3: Cross multiply
    445,371.75x = 971,128.13 × 971,128.13
  4. Step 4: Simplify right side
    445,371.75x = 943,089,835,166.02
  5. Step 5: Solve for x
    x = 943,089,835,166.02/445,371.75
  6. Step 6: Final answer
    x = 2,117,534.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.