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Finding the Third Proportional to 806,194 and 1,165,416

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Solution

The third proportional to 806,194 and 1,165,416 is: 1,684,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,194 : 1,165,416 = 1,165,416 : x
  2. Step 2: Convert to fraction form
    806,194/1,165,416 = 1,165,416/x
  3. Step 3: Cross multiply
    806,194x = 1,165,416 × 1,165,416
  4. Step 4: Simplify right side
    806,194x = 1,358,194,453,056
  5. Step 5: Solve for x
    x = 1,358,194,453,056/806,194
  6. Step 6: Final answer
    x = 1,684,699.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.