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Finding the Third Proportional to 671,354 and 1,024,563

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Solution

The third proportional to 671,354 and 1,024,563 is: 1,563,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,354 : 1,024,563 = 1,024,563 : x
  2. Step 2: Convert to fraction form
    671,354/1,024,563 = 1,024,563/x
  3. Step 3: Cross multiply
    671,354x = 1,024,563 × 1,024,563
  4. Step 4: Simplify right side
    671,354x = 1,049,729,340,969
  5. Step 5: Solve for x
    x = 1,049,729,340,969/671,354
  6. Step 6: Final answer
    x = 1,563,600.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.