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Finding the Third Proportional to 759,824 and 1,641,440

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Solution

The third proportional to 759,824 and 1,641,440 is: 3,545,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,824 : 1,641,440 = 1,641,440 : x
  2. Step 2: Convert to fraction form
    759,824/1,641,440 = 1,641,440/x
  3. Step 3: Cross multiply
    759,824x = 1,641,440 × 1,641,440
  4. Step 4: Simplify right side
    759,824x = 2,694,325,273,600
  5. Step 5: Solve for x
    x = 2,694,325,273,600/759,824
  6. Step 6: Final answer
    x = 3,545,986.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.