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Finding the Third Proportional to 649,096 and 1,416,289

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Solution

The third proportional to 649,096 and 1,416,289 is: 3,090,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,096 : 1,416,289 = 1,416,289 : x
  2. Step 2: Convert to fraction form
    649,096/1,416,289 = 1,416,289/x
  3. Step 3: Cross multiply
    649,096x = 1,416,289 × 1,416,289
  4. Step 4: Simplify right side
    649,096x = 2,005,874,531,521
  5. Step 5: Solve for x
    x = 2,005,874,531,521/649,096
  6. Step 6: Final answer
    x = 3,090,258.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.