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Finding the Third Proportional to 657,300 and 1,414,232

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Solution

The third proportional to 657,300 and 1,414,232 is: 3,042,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,300 : 1,414,232 = 1,414,232 : x
  2. Step 2: Convert to fraction form
    657,300/1,414,232 = 1,414,232/x
  3. Step 3: Cross multiply
    657,300x = 1,414,232 × 1,414,232
  4. Step 4: Simplify right side
    657,300x = 2,000,052,149,824
  5. Step 5: Solve for x
    x = 2,000,052,149,824/657,300
  6. Step 6: Final answer
    x = 3,042,829.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.