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Finding the Third Proportional to 1,633,024 and 3,546,464

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Solution

The third proportional to 1,633,024 and 3,546,464 is: 7,701,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,024 : 3,546,464 = 3,546,464 : x
  2. Step 2: Convert to fraction form
    1,633,024/3,546,464 = 3,546,464/x
  3. Step 3: Cross multiply
    1,633,024x = 3,546,464 × 3,546,464
  4. Step 4: Simplify right side
    1,633,024x = 12,577,406,903,296
  5. Step 5: Solve for x
    x = 12,577,406,903,296/1,633,024
  6. Step 6: Final answer
    x = 7,701,911.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.