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Finding the Third Proportional to 830,112 and 1,282,024

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Solution

The third proportional to 830,112 and 1,282,024 is: 1,979,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,112 : 1,282,024 = 1,282,024 : x
  2. Step 2: Convert to fraction form
    830,112/1,282,024 = 1,282,024/x
  3. Step 3: Cross multiply
    830,112x = 1,282,024 × 1,282,024
  4. Step 4: Simplify right side
    830,112x = 1,643,585,536,576
  5. Step 5: Solve for x
    x = 1,643,585,536,576/830,112
  6. Step 6: Final answer
    x = 1,979,956.36

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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.