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Finding the Third Proportional to 481,355 and 1,031,023

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Solution

The third proportional to 481,355 and 1,031,023 is: 2,208,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,355 : 1,031,023 = 1,031,023 : x
  2. Step 2: Convert to fraction form
    481,355/1,031,023 = 1,031,023/x
  3. Step 3: Cross multiply
    481,355x = 1,031,023 × 1,031,023
  4. Step 4: Simplify right side
    481,355x = 1,063,008,426,529
  5. Step 5: Solve for x
    x = 1,063,008,426,529/481,355
  6. Step 6: Final answer
    x = 2,208,366.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.