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Finding the Third Proportional to 605,569.50 and 1,314,171

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Solution

The third proportional to 605,569.50 and 1,314,171 is: 2,851,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,569.50 : 1,314,171 = 1,314,171 : x
  2. Step 2: Convert to fraction form
    605,569.50/1,314,171 = 1,314,171/x
  3. Step 3: Cross multiply
    605,569.50x = 1,314,171 × 1,314,171
  4. Step 4: Simplify right side
    605,569.50x = 1,727,045,417,241
  5. Step 5: Solve for x
    x = 1,727,045,417,241/605,569.50
  6. Step 6: Final answer
    x = 2,851,935.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.