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Finding the Third Proportional to 467,546 and 1,006,595

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Solution

The third proportional to 467,546 and 1,006,595 is: 2,167,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,546 : 1,006,595 = 1,006,595 : x
  2. Step 2: Convert to fraction form
    467,546/1,006,595 = 1,006,595/x
  3. Step 3: Cross multiply
    467,546x = 1,006,595 × 1,006,595
  4. Step 4: Simplify right side
    467,546x = 1,013,233,494,025
  5. Step 5: Solve for x
    x = 1,013,233,494,025/467,546
  6. Step 6: Final answer
    x = 2,167,131.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.