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Finding the Third Proportional to 362,184,516 and 785,617,542

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Solution

The third proportional to 362,184,516 and 785,617,542 is: 1,704,089,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184,516 : 785,617,542 = 785,617,542 : x
  2. Step 2: Convert to fraction form
    362,184,516/785,617,542 = 785,617,542/x
  3. Step 3: Cross multiply
    362,184,516x = 785,617,542 × 785,617,542
  4. Step 4: Simplify right side
    362,184,516x = 617,194,922,298,121,728
  5. Step 5: Solve for x
    x = 617,194,922,298,121,728/362,184,516
  6. Step 6: Final answer
    x = 1,704,089,752.69

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Why These Related Problems?

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