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Finding the Third Proportional to 830,108 and 1,282,018

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Solution

The third proportional to 830,108 and 1,282,018 is: 1,979,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,108 : 1,282,018 = 1,282,018 : x
  2. Step 2: Convert to fraction form
    830,108/1,282,018 = 1,282,018/x
  3. Step 3: Cross multiply
    830,108x = 1,282,018 × 1,282,018
  4. Step 4: Simplify right side
    830,108x = 1,643,570,152,324
  5. Step 5: Solve for x
    x = 1,643,570,152,324/830,108
  6. Step 6: Final answer
    x = 1,979,947.37

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Why These Related Problems?

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