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Finding the Third Proportional to 657,936 and 1,415,664

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Solution

The third proportional to 657,936 and 1,415,664 is: 3,046,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,936 : 1,415,664 = 1,415,664 : x
  2. Step 2: Convert to fraction form
    657,936/1,415,664 = 1,415,664/x
  3. Step 3: Cross multiply
    657,936x = 1,415,664 × 1,415,664
  4. Step 4: Simplify right side
    657,936x = 2,004,104,560,896
  5. Step 5: Solve for x
    x = 2,004,104,560,896/657,936
  6. Step 6: Final answer
    x = 3,046,047.88

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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.