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Finding the Third Proportional to 960,015 and 1,486,840.50

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Solution

The third proportional to 960,015 and 1,486,840.50 is: 2,302,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,015 : 1,486,840.50 = 1,486,840.50 : x
  2. Step 2: Convert to fraction form
    960,015/1,486,840.50 = 1,486,840.50/x
  3. Step 3: Cross multiply
    960,015x = 1,486,840.50 × 1,486,840.50
  4. Step 4: Simplify right side
    960,015x = 2,210,694,672,440.25
  5. Step 5: Solve for x
    x = 2,210,694,672,440.25/960,015
  6. Step 6: Final answer
    x = 2,302,770.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.