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Finding the Third Proportional to 461,868 and 1,079,132

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Solution

The third proportional to 461,868 and 1,079,132 is: 2,521,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,868 : 1,079,132 = 1,079,132 : x
  2. Step 2: Convert to fraction form
    461,868/1,079,132 = 1,079,132/x
  3. Step 3: Cross multiply
    461,868x = 1,079,132 × 1,079,132
  4. Step 4: Simplify right side
    461,868x = 1,164,525,873,424
  5. Step 5: Solve for x
    x = 1,164,525,873,424/461,868
  6. Step 6: Final answer
    x = 2,521,339.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.