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Finding the Third Proportional to 595,668 and 907,542

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Solution

The third proportional to 595,668 and 907,542 is: 1,382,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,668 : 907,542 = 907,542 : x
  2. Step 2: Convert to fraction form
    595,668/907,542 = 907,542/x
  3. Step 3: Cross multiply
    595,668x = 907,542 × 907,542
  4. Step 4: Simplify right side
    595,668x = 823,632,481,764
  5. Step 5: Solve for x
    x = 823,632,481,764/595,668
  6. Step 6: Final answer
    x = 1,382,703.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.