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Finding the Third Proportional to 463,666 and 967,508

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Solution

The third proportional to 463,666 and 967,508 is: 2,018,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,666 : 967,508 = 967,508 : x
  2. Step 2: Convert to fraction form
    463,666/967,508 = 967,508/x
  3. Step 3: Cross multiply
    463,666x = 967,508 × 967,508
  4. Step 4: Simplify right side
    463,666x = 936,071,730,064
  5. Step 5: Solve for x
    x = 936,071,730,064/463,666
  6. Step 6: Final answer
    x = 2,018,849.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.