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Finding the Third Proportional to 1,029,790 and 2,153,689

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Solution

The third proportional to 1,029,790 and 2,153,689 is: 4,504,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,790 : 2,153,689 = 2,153,689 : x
  2. Step 2: Convert to fraction form
    1,029,790/2,153,689 = 2,153,689/x
  3. Step 3: Cross multiply
    1,029,790x = 2,153,689 × 2,153,689
  4. Step 4: Simplify right side
    1,029,790x = 4,638,376,308,721
  5. Step 5: Solve for x
    x = 4,638,376,308,721/1,029,790
  6. Step 6: Final answer
    x = 4,504,196.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.