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Finding the Third Proportional to 750,120 and 1,641,018

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Solution

The third proportional to 750,120 and 1,641,018 is: 3,590,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,120 : 1,641,018 = 1,641,018 : x
  2. Step 2: Convert to fraction form
    750,120/1,641,018 = 1,641,018/x
  3. Step 3: Cross multiply
    750,120x = 1,641,018 × 1,641,018
  4. Step 4: Simplify right side
    750,120x = 2,692,940,076,324
  5. Step 5: Solve for x
    x = 2,692,940,076,324/750,120
  6. Step 6: Final answer
    x = 3,590,012.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.