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Finding the Third Proportional to 797,369 and 1,705,383

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Solution

The third proportional to 797,369 and 1,705,383 is: 3,647,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,369 : 1,705,383 = 1,705,383 : x
  2. Step 2: Convert to fraction form
    797,369/1,705,383 = 1,705,383/x
  3. Step 3: Cross multiply
    797,369x = 1,705,383 × 1,705,383
  4. Step 4: Simplify right side
    797,369x = 2,908,331,176,689
  5. Step 5: Solve for x
    x = 2,908,331,176,689/797,369
  6. Step 6: Final answer
    x = 3,647,409.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.