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Finding the Third Proportional to 704,884 and 1,524,464

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Solution

The third proportional to 704,884 and 1,524,464 is: 3,296,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,884 : 1,524,464 = 1,524,464 : x
  2. Step 2: Convert to fraction form
    704,884/1,524,464 = 1,524,464/x
  3. Step 3: Cross multiply
    704,884x = 1,524,464 × 1,524,464
  4. Step 4: Simplify right side
    704,884x = 2,323,990,487,296
  5. Step 5: Solve for x
    x = 2,323,990,487,296/704,884
  6. Step 6: Final answer
    x = 3,296,982.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.