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Finding the Third Proportional to 577,406 and 907,041

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Solution

The third proportional to 577,406 and 907,041 is: 1,424,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,406 : 907,041 = 907,041 : x
  2. Step 2: Convert to fraction form
    577,406/907,041 = 907,041/x
  3. Step 3: Cross multiply
    577,406x = 907,041 × 907,041
  4. Step 4: Simplify right side
    577,406x = 822,723,375,681
  5. Step 5: Solve for x
    x = 822,723,375,681/577,406
  6. Step 6: Final answer
    x = 1,424,861.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.