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Finding the Third Proportional to 671,946 and 1,450,866.75

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Solution

The third proportional to 671,946 and 1,450,866.75 is: 3,132,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,946 : 1,450,866.75 = 1,450,866.75 : x
  2. Step 2: Convert to fraction form
    671,946/1,450,866.75 = 1,450,866.75/x
  3. Step 3: Cross multiply
    671,946x = 1,450,866.75 × 1,450,866.75
  4. Step 4: Simplify right side
    671,946x = 2,105,014,326,255.56
  5. Step 5: Solve for x
    x = 2,105,014,326,255.56/671,946
  6. Step 6: Final answer
    x = 3,132,713.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.