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Finding the Third Proportional to 948,762 and 1,467,478.50

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Solution

The third proportional to 948,762 and 1,467,478.50 is: 2,269,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,762 : 1,467,478.50 = 1,467,478.50 : x
  2. Step 2: Convert to fraction form
    948,762/1,467,478.50 = 1,467,478.50/x
  3. Step 3: Cross multiply
    948,762x = 1,467,478.50 × 1,467,478.50
  4. Step 4: Simplify right side
    948,762x = 2,153,493,147,962.25
  5. Step 5: Solve for x
    x = 2,153,493,147,962.25/948,762
  6. Step 6: Final answer
    x = 2,269,792.79

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