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Finding the Third Proportional to 498,346 and 1,169,945

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Solution

The third proportional to 498,346 and 1,169,945 is: 2,746,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,346 : 1,169,945 = 1,169,945 : x
  2. Step 2: Convert to fraction form
    498,346/1,169,945 = 1,169,945/x
  3. Step 3: Cross multiply
    498,346x = 1,169,945 × 1,169,945
  4. Step 4: Simplify right side
    498,346x = 1,368,771,303,025
  5. Step 5: Solve for x
    x = 1,368,771,303,025/498,346
  6. Step 6: Final answer
    x = 2,746,628.45

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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.