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Finding the Third Proportional to 684,972 and 1,485,576

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Solution

The third proportional to 684,972 and 1,485,576 is: 3,221,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,972 : 1,485,576 = 1,485,576 : x
  2. Step 2: Convert to fraction form
    684,972/1,485,576 = 1,485,576/x
  3. Step 3: Cross multiply
    684,972x = 1,485,576 × 1,485,576
  4. Step 4: Simplify right side
    684,972x = 2,206,936,051,776
  5. Step 5: Solve for x
    x = 2,206,936,051,776/684,972
  6. Step 6: Final answer
    x = 3,221,936.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.