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Finding the Third Proportional to 498,274 and 1,169,778

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Solution

The third proportional to 498,274 and 1,169,778 is: 2,746,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,274 : 1,169,778 = 1,169,778 : x
  2. Step 2: Convert to fraction form
    498,274/1,169,778 = 1,169,778/x
  3. Step 3: Cross multiply
    498,274x = 1,169,778 × 1,169,778
  4. Step 4: Simplify right side
    498,274x = 1,368,380,569,284
  5. Step 5: Solve for x
    x = 1,368,380,569,284/498,274
  6. Step 6: Final answer
    x = 2,746,241.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.