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Finding the Third Proportional to 794,784,973.50 and 1,184,424,086.25

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Solution

The third proportional to 794,784,973.50 and 1,184,424,086.25 is: 1,765,081,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,784,973.50 : 1,184,424,086.25 = 1,184,424,086.25 : x
  2. Step 2: Convert to fraction form
    794,784,973.50/1,184,424,086.25 = 1,184,424,086.25/x
  3. Step 3: Cross multiply
    794,784,973.50x = 1,184,424,086.25 × 1,184,424,086.25
  4. Step 4: Simplify right side
    794,784,973.50x = 1,402,860,416,089,147,392
  5. Step 5: Solve for x
    x = 1,402,860,416,089,147,392/794,784,973.50
  6. Step 6: Final answer
    x = 1,765,081,704.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.