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Finding the Third Proportional to 519,856 and 1,133,664

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Solution

The third proportional to 519,856 and 1,133,664 is: 2,472,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,856 : 1,133,664 = 1,133,664 : x
  2. Step 2: Convert to fraction form
    519,856/1,133,664 = 1,133,664/x
  3. Step 3: Cross multiply
    519,856x = 1,133,664 × 1,133,664
  4. Step 4: Simplify right side
    519,856x = 1,285,194,064,896
  5. Step 5: Solve for x
    x = 1,285,194,064,896/519,856
  6. Step 6: Final answer
    x = 2,472,211.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.