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Finding the Third Proportional to 770,064 and 1,185,168

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Solution

The third proportional to 770,064 and 1,185,168 is: 1,824,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,064 : 1,185,168 = 1,185,168 : x
  2. Step 2: Convert to fraction form
    770,064/1,185,168 = 1,185,168/x
  3. Step 3: Cross multiply
    770,064x = 1,185,168 × 1,185,168
  4. Step 4: Simplify right side
    770,064x = 1,404,623,188,224
  5. Step 5: Solve for x
    x = 1,404,623,188,224/770,064
  6. Step 6: Final answer
    x = 1,824,034.35

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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.