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Finding the Third Proportional to 743,844 and 1,611,294

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Solution

The third proportional to 743,844 and 1,611,294 is: 3,490,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,844 : 1,611,294 = 1,611,294 : x
  2. Step 2: Convert to fraction form
    743,844/1,611,294 = 1,611,294/x
  3. Step 3: Cross multiply
    743,844x = 1,611,294 × 1,611,294
  4. Step 4: Simplify right side
    743,844x = 2,596,268,354,436
  5. Step 5: Solve for x
    x = 2,596,268,354,436/743,844
  6. Step 6: Final answer
    x = 3,490,339.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.