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Finding the Third Proportional to 770,068 and 1,185,174

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Solution

The third proportional to 770,068 and 1,185,174 is: 1,824,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,068 : 1,185,174 = 1,185,174 : x
  2. Step 2: Convert to fraction form
    770,068/1,185,174 = 1,185,174/x
  3. Step 3: Cross multiply
    770,068x = 1,185,174 × 1,185,174
  4. Step 4: Simplify right side
    770,068x = 1,404,637,410,276
  5. Step 5: Solve for x
    x = 1,404,637,410,276/770,068
  6. Step 6: Final answer
    x = 1,824,043.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.