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Finding the Third Proportional to 802,616 and 1,671,664

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Solution

The third proportional to 802,616 and 1,671,664 is: 3,481,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,616 : 1,671,664 = 1,671,664 : x
  2. Step 2: Convert to fraction form
    802,616/1,671,664 = 1,671,664/x
  3. Step 3: Cross multiply
    802,616x = 1,671,664 × 1,671,664
  4. Step 4: Simplify right side
    802,616x = 2,794,460,528,896
  5. Step 5: Solve for x
    x = 2,794,460,528,896/802,616
  6. Step 6: Final answer
    x = 3,481,690.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.