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Finding the Third Proportional to 362,184,486 and 785,617,491

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Solution

The third proportional to 362,184,486 and 785,617,491 is: 1,704,089,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184,486 : 785,617,491 = 785,617,491 : x
  2. Step 2: Convert to fraction form
    362,184,486/785,617,491 = 785,617,491/x
  3. Step 3: Cross multiply
    362,184,486x = 785,617,491 × 785,617,491
  4. Step 4: Simplify right side
    362,184,486x = 617,194,842,165,135,104
  5. Step 5: Solve for x
    x = 617,194,842,165,135,104/362,184,486
  6. Step 6: Final answer
    x = 1,704,089,672.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.