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Finding the Third Proportional to 767,673 and 1,784,614.50

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Solution

The third proportional to 767,673 and 1,784,614.50 is: 4,148,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,673 : 1,784,614.50 = 1,784,614.50 : x
  2. Step 2: Convert to fraction form
    767,673/1,784,614.50 = 1,784,614.50/x
  3. Step 3: Cross multiply
    767,673x = 1,784,614.50 × 1,784,614.50
  4. Step 4: Simplify right side
    767,673x = 3,184,848,913,610.25
  5. Step 5: Solve for x
    x = 3,184,848,913,610.25/767,673
  6. Step 6: Final answer
    x = 4,148,705.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.