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Finding the Third Proportional to 856,968 and 1,258,936

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Solution

The third proportional to 856,968 and 1,258,936 is: 1,849,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,968 : 1,258,936 = 1,258,936 : x
  2. Step 2: Convert to fraction form
    856,968/1,258,936 = 1,258,936/x
  3. Step 3: Cross multiply
    856,968x = 1,258,936 × 1,258,936
  4. Step 4: Simplify right side
    856,968x = 1,584,919,852,096
  5. Step 5: Solve for x
    x = 1,584,919,852,096/856,968
  6. Step 6: Final answer
    x = 1,849,450.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.