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Finding the Third Proportional to 688,602 and 1,485,972

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Solution

The third proportional to 688,602 and 1,485,972 is: 3,206,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,602 : 1,485,972 = 1,485,972 : x
  2. Step 2: Convert to fraction form
    688,602/1,485,972 = 1,485,972/x
  3. Step 3: Cross multiply
    688,602x = 1,485,972 × 1,485,972
  4. Step 4: Simplify right side
    688,602x = 2,208,112,784,784
  5. Step 5: Solve for x
    x = 2,208,112,784,784/688,602
  6. Step 6: Final answer
    x = 3,206,660.43

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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.