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Finding the Third Proportional to 1,631,748 and 3,499,512

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Solution

The third proportional to 1,631,748 and 3,499,512 is: 7,505,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,748 : 3,499,512 = 3,499,512 : x
  2. Step 2: Convert to fraction form
    1,631,748/3,499,512 = 3,499,512/x
  3. Step 3: Cross multiply
    1,631,748x = 3,499,512 × 3,499,512
  4. Step 4: Simplify right side
    1,631,748x = 12,246,584,238,144
  5. Step 5: Solve for x
    x = 12,246,584,238,144/1,631,748
  6. Step 6: Final answer
    x = 7,505,193.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.