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Finding the Third Proportional to 772,004 and 1,701,064

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Solution

The third proportional to 772,004 and 1,701,064 is: 3,748,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,004 : 1,701,064 = 1,701,064 : x
  2. Step 2: Convert to fraction form
    772,004/1,701,064 = 1,701,064/x
  3. Step 3: Cross multiply
    772,004x = 1,701,064 × 1,701,064
  4. Step 4: Simplify right side
    772,004x = 2,893,618,732,096
  5. Step 5: Solve for x
    x = 2,893,618,732,096/772,004
  6. Step 6: Final answer
    x = 3,748,191.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.