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Finding the Third Proportional to 952,998 and 1,481,769

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Solution

The third proportional to 952,998 and 1,481,769 is: 2,303,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,998 : 1,481,769 = 1,481,769 : x
  2. Step 2: Convert to fraction form
    952,998/1,481,769 = 1,481,769/x
  3. Step 3: Cross multiply
    952,998x = 1,481,769 × 1,481,769
  4. Step 4: Simplify right side
    952,998x = 2,195,639,369,361
  5. Step 5: Solve for x
    x = 2,195,639,369,361/952,998
  6. Step 6: Final answer
    x = 2,303,928.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.