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Finding the Third Proportional to 767,242 and 1,792,033

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Solution

The third proportional to 767,242 and 1,792,033 is: 4,185,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,242 : 1,792,033 = 1,792,033 : x
  2. Step 2: Convert to fraction form
    767,242/1,792,033 = 1,792,033/x
  3. Step 3: Cross multiply
    767,242x = 1,792,033 × 1,792,033
  4. Step 4: Simplify right side
    767,242x = 3,211,382,273,089
  5. Step 5: Solve for x
    x = 3,211,382,273,089/767,242
  6. Step 6: Final answer
    x = 4,185,618.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.