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Finding the Third Proportional to 816,531 and 1,731,894

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Solution

The third proportional to 816,531 and 1,731,894 is: 3,673,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,531 : 1,731,894 = 1,731,894 : x
  2. Step 2: Convert to fraction form
    816,531/1,731,894 = 1,731,894/x
  3. Step 3: Cross multiply
    816,531x = 1,731,894 × 1,731,894
  4. Step 4: Simplify right side
    816,531x = 2,999,456,827,236
  5. Step 5: Solve for x
    x = 2,999,456,827,236/816,531
  6. Step 6: Final answer
    x = 3,673,414.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.