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Finding the Third Proportional to 751,680 and 1,164,672

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Solution

The third proportional to 751,680 and 1,164,672 is: 1,804,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,680 : 1,164,672 = 1,164,672 : x
  2. Step 2: Convert to fraction form
    751,680/1,164,672 = 1,164,672/x
  3. Step 3: Cross multiply
    751,680x = 1,164,672 × 1,164,672
  4. Step 4: Simplify right side
    751,680x = 1,356,460,867,584
  5. Step 5: Solve for x
    x = 1,356,460,867,584/751,680
  6. Step 6: Final answer
    x = 1,804,572.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.