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Finding the Third Proportional to 792,297 and 1,544,903

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Solution

The third proportional to 792,297 and 1,544,903 is: 3,012,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,297 : 1,544,903 = 1,544,903 : x
  2. Step 2: Convert to fraction form
    792,297/1,544,903 = 1,544,903/x
  3. Step 3: Cross multiply
    792,297x = 1,544,903 × 1,544,903
  4. Step 4: Simplify right side
    792,297x = 2,386,725,279,409
  5. Step 5: Solve for x
    x = 2,386,725,279,409/792,297
  6. Step 6: Final answer
    x = 3,012,412.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.