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Finding the Third Proportional to 830,104 and 1,282,012

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Solution

The third proportional to 830,104 and 1,282,012 is: 1,979,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,104 : 1,282,012 = 1,282,012 : x
  2. Step 2: Convert to fraction form
    830,104/1,282,012 = 1,282,012/x
  3. Step 3: Cross multiply
    830,104x = 1,282,012 × 1,282,012
  4. Step 4: Simplify right side
    830,104x = 1,643,554,768,144
  5. Step 5: Solve for x
    x = 1,643,554,768,144/830,104
  6. Step 6: Final answer
    x = 1,979,938.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.