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Finding the Third Proportional to 495,205 and 1,085,059

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Solution

The third proportional to 495,205 and 1,085,059 is: 2,377,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,205 : 1,085,059 = 1,085,059 : x
  2. Step 2: Convert to fraction form
    495,205/1,085,059 = 1,085,059/x
  3. Step 3: Cross multiply
    495,205x = 1,085,059 × 1,085,059
  4. Step 4: Simplify right side
    495,205x = 1,177,353,033,481
  5. Step 5: Solve for x
    x = 1,177,353,033,481/495,205
  6. Step 6: Final answer
    x = 2,377,506.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.