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Finding the Third Proportional to 442,786 and 917,079

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Solution

The third proportional to 442,786 and 917,079 is: 1,899,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,786 : 917,079 = 917,079 : x
  2. Step 2: Convert to fraction form
    442,786/917,079 = 917,079/x
  3. Step 3: Cross multiply
    442,786x = 917,079 × 917,079
  4. Step 4: Simplify right side
    442,786x = 841,033,892,241
  5. Step 5: Solve for x
    x = 841,033,892,241/442,786
  6. Step 6: Final answer
    x = 1,899,413.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.