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Finding the Third Proportional to 687,912.75 and 1,459,068.19

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Solution

The third proportional to 687,912.75 and 1,459,068.19 is: 3,094,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,912.75 : 1,459,068.19 = 1,459,068.19 : x
  2. Step 2: Convert to fraction form
    687,912.75/1,459,068.19 = 1,459,068.19/x
  3. Step 3: Cross multiply
    687,912.75x = 1,459,068.19 × 1,459,068.19
  4. Step 4: Simplify right side
    687,912.75x = 2,128,879,975,774.54
  5. Step 5: Solve for x
    x = 2,128,879,975,774.54/687,912.75
  6. Step 6: Final answer
    x = 3,094,694.75

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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.