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Finding the Third Proportional to 783,945 and 1,717,281

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Solution

The third proportional to 783,945 and 1,717,281 is: 3,761,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,945 : 1,717,281 = 1,717,281 : x
  2. Step 2: Convert to fraction form
    783,945/1,717,281 = 1,717,281/x
  3. Step 3: Cross multiply
    783,945x = 1,717,281 × 1,717,281
  4. Step 4: Simplify right side
    783,945x = 2,949,054,032,961
  5. Step 5: Solve for x
    x = 2,949,054,032,961/783,945
  6. Step 6: Final answer
    x = 3,761,812.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.