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Finding the Third Proportional to 362,184,476 and 785,617,470

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Solution

The third proportional to 362,184,476 and 785,617,470 is: 1,704,089,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184,476 : 785,617,470 = 785,617,470 : x
  2. Step 2: Convert to fraction form
    362,184,476/785,617,470 = 785,617,470/x
  3. Step 3: Cross multiply
    362,184,476x = 785,617,470 × 785,617,470
  4. Step 4: Simplify right side
    362,184,476x = 617,194,809,169,200,896
  5. Step 5: Solve for x
    x = 617,194,809,169,200,896/362,184,476
  6. Step 6: Final answer
    x = 1,704,089,628.54

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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.