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Finding the Third Proportional to 419,830 and 905,998

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Solution

The third proportional to 419,830 and 905,998 is: 1,955,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,830 : 905,998 = 905,998 : x
  2. Step 2: Convert to fraction form
    419,830/905,998 = 905,998/x
  3. Step 3: Cross multiply
    419,830x = 905,998 × 905,998
  4. Step 4: Simplify right side
    419,830x = 820,832,376,004
  5. Step 5: Solve for x
    x = 820,832,376,004/419,830
  6. Step 6: Final answer
    x = 1,955,154.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.