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Finding the Third Proportional to 2,356,000.50 and 3,780,015

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Solution

The third proportional to 2,356,000.50 and 3,780,015 is: 6,064,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,000.50 : 3,780,015 = 3,780,015 : x
  2. Step 2: Convert to fraction form
    2,356,000.50/3,780,015 = 3,780,015/x
  3. Step 3: Cross multiply
    2,356,000.50x = 3,780,015 × 3,780,015
  4. Step 4: Simplify right side
    2,356,000.50x = 14,288,513,400,225
  5. Step 5: Solve for x
    x = 14,288,513,400,225/2,356,000.50
  6. Step 6: Final answer
    x = 6,064,732.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.