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Finding the Third Proportional to 613,574 and 1,314,580

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Solution

The third proportional to 613,574 and 1,314,580 is: 2,816,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,574 : 1,314,580 = 1,314,580 : x
  2. Step 2: Convert to fraction form
    613,574/1,314,580 = 1,314,580/x
  3. Step 3: Cross multiply
    613,574x = 1,314,580 × 1,314,580
  4. Step 4: Simplify right side
    613,574x = 1,728,120,576,400
  5. Step 5: Solve for x
    x = 1,728,120,576,400/613,574
  6. Step 6: Final answer
    x = 2,816,482.73

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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.