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Finding the Third Proportional to 830,106 and 1,282,015

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Solution

The third proportional to 830,106 and 1,282,015 is: 1,979,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,106 : 1,282,015 = 1,282,015 : x
  2. Step 2: Convert to fraction form
    830,106/1,282,015 = 1,282,015/x
  3. Step 3: Cross multiply
    830,106x = 1,282,015 × 1,282,015
  4. Step 4: Simplify right side
    830,106x = 1,643,562,460,225
  5. Step 5: Solve for x
    x = 1,643,562,460,225/830,106
  6. Step 6: Final answer
    x = 1,979,942.88

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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.