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Finding the Third Proportional to 619,949 and 1,314,295

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Solution

The third proportional to 619,949 and 1,314,295 is: 2,786,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,949 : 1,314,295 = 1,314,295 : x
  2. Step 2: Convert to fraction form
    619,949/1,314,295 = 1,314,295/x
  3. Step 3: Cross multiply
    619,949x = 1,314,295 × 1,314,295
  4. Step 4: Simplify right side
    619,949x = 1,727,371,347,025
  5. Step 5: Solve for x
    x = 1,727,371,347,025/619,949
  6. Step 6: Final answer
    x = 2,786,312.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.