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Finding the Third Proportional to 830,105 and 1,282,013.50

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Solution

The third proportional to 830,105 and 1,282,013.50 is: 1,979,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,105 : 1,282,013.50 = 1,282,013.50 : x
  2. Step 2: Convert to fraction form
    830,105/1,282,013.50 = 1,282,013.50/x
  3. Step 3: Cross multiply
    830,105x = 1,282,013.50 × 1,282,013.50
  4. Step 4: Simplify right side
    830,105x = 1,643,558,614,182.25
  5. Step 5: Solve for x
    x = 1,643,558,614,182.25/830,105
  6. Step 6: Final answer
    x = 1,979,940.63

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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.