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Finding the Third Proportional to 707,266 and 1,447,215

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Solution

The third proportional to 707,266 and 1,447,215 is: 2,961,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,266 : 1,447,215 = 1,447,215 : x
  2. Step 2: Convert to fraction form
    707,266/1,447,215 = 1,447,215/x
  3. Step 3: Cross multiply
    707,266x = 1,447,215 × 1,447,215
  4. Step 4: Simplify right side
    707,266x = 2,094,431,256,225
  5. Step 5: Solve for x
    x = 2,094,431,256,225/707,266
  6. Step 6: Final answer
    x = 2,961,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.