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Finding the Third Proportional to 432,687 and 946,809

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Solution

The third proportional to 432,687 and 946,809 is: 2,071,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,687 : 946,809 = 946,809 : x
  2. Step 2: Convert to fraction form
    432,687/946,809 = 946,809/x
  3. Step 3: Cross multiply
    432,687x = 946,809 × 946,809
  4. Step 4: Simplify right side
    432,687x = 896,447,282,481
  5. Step 5: Solve for x
    x = 896,447,282,481/432,687
  6. Step 6: Final answer
    x = 2,071,814.69

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Why These Related Problems?

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