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Finding the Third Proportional to 829,064 and 1,771,880

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Solution

The third proportional to 829,064 and 1,771,880 is: 3,786,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,064 : 1,771,880 = 1,771,880 : x
  2. Step 2: Convert to fraction form
    829,064/1,771,880 = 1,771,880/x
  3. Step 3: Cross multiply
    829,064x = 1,771,880 × 1,771,880
  4. Step 4: Simplify right side
    829,064x = 3,139,558,734,400
  5. Step 5: Solve for x
    x = 3,139,558,734,400/829,064
  6. Step 6: Final answer
    x = 3,786,871.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.