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Finding the Third Proportional to 442,833 and 970,777.50

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Solution

The third proportional to 442,833 and 970,777.50 is: 2,128,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,833 : 970,777.50 = 970,777.50 : x
  2. Step 2: Convert to fraction form
    442,833/970,777.50 = 970,777.50/x
  3. Step 3: Cross multiply
    442,833x = 970,777.50 × 970,777.50
  4. Step 4: Simplify right side
    442,833x = 942,408,954,506.25
  5. Step 5: Solve for x
    x = 942,408,954,506.25/442,833
  6. Step 6: Final answer
    x = 2,128,136.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.