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Finding the Third Proportional to 495,422 and 1,054,780

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Solution

The third proportional to 495,422 and 1,054,780 is: 2,245,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,422 : 1,054,780 = 1,054,780 : x
  2. Step 2: Convert to fraction form
    495,422/1,054,780 = 1,054,780/x
  3. Step 3: Cross multiply
    495,422x = 1,054,780 × 1,054,780
  4. Step 4: Simplify right side
    495,422x = 1,112,560,848,400
  5. Step 5: Solve for x
    x = 1,112,560,848,400/495,422
  6. Step 6: Final answer
    x = 2,245,683.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.