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Finding the Third Proportional to 633,512 and 1,366,047

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Solution

The third proportional to 633,512 and 1,366,047 is: 2,945,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,512 : 1,366,047 = 1,366,047 : x
  2. Step 2: Convert to fraction form
    633,512/1,366,047 = 1,366,047/x
  3. Step 3: Cross multiply
    633,512x = 1,366,047 × 1,366,047
  4. Step 4: Simplify right side
    633,512x = 1,866,084,406,209
  5. Step 5: Solve for x
    x = 1,866,084,406,209/633,512
  6. Step 6: Final answer
    x = 2,945,618.09

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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.