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Finding the Third Proportional to 666,830.25 and 1,460,142

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Solution

The third proportional to 666,830.25 and 1,460,142 is: 3,197,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,830.25 : 1,460,142 = 1,460,142 : x
  2. Step 2: Convert to fraction form
    666,830.25/1,460,142 = 1,460,142/x
  3. Step 3: Cross multiply
    666,830.25x = 1,460,142 × 1,460,142
  4. Step 4: Simplify right side
    666,830.25x = 2,132,014,660,164
  5. Step 5: Solve for x
    x = 2,132,014,660,164/666,830.25
  6. Step 6: Final answer
    x = 3,197,237.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.