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Finding the Third Proportional to 633,515 and 1,366,053

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Solution

The third proportional to 633,515 and 1,366,053 is: 2,945,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,515 : 1,366,053 = 1,366,053 : x
  2. Step 2: Convert to fraction form
    633,515/1,366,053 = 1,366,053/x
  3. Step 3: Cross multiply
    633,515x = 1,366,053 × 1,366,053
  4. Step 4: Simplify right side
    633,515x = 1,866,100,798,809
  5. Step 5: Solve for x
    x = 1,866,100,798,809/633,515
  6. Step 6: Final answer
    x = 2,945,630.01

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Why These Related Problems?

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