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Finding the Third Proportional to 680,400 and 1,461,661.50

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Solution

The third proportional to 680,400 and 1,461,661.50 is: 3,139,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,400 : 1,461,661.50 = 1,461,661.50 : x
  2. Step 2: Convert to fraction form
    680,400/1,461,661.50 = 1,461,661.50/x
  3. Step 3: Cross multiply
    680,400x = 1,461,661.50 × 1,461,661.50
  4. Step 4: Simplify right side
    680,400x = 2,136,454,340,582.25
  5. Step 5: Solve for x
    x = 2,136,454,340,582.25/680,400
  6. Step 6: Final answer
    x = 3,139,997.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.