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Finding the Third Proportional to 916,740 and 1,376,838

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Solution

The third proportional to 916,740 and 1,376,838 is: 2,067,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,740 : 1,376,838 = 1,376,838 : x
  2. Step 2: Convert to fraction form
    916,740/1,376,838 = 1,376,838/x
  3. Step 3: Cross multiply
    916,740x = 1,376,838 × 1,376,838
  4. Step 4: Simplify right side
    916,740x = 1,895,682,878,244
  5. Step 5: Solve for x
    x = 1,895,682,878,244/916,740
  6. Step 6: Final answer
    x = 2,067,852.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.