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Finding the Third Proportional to 829,064 and 1,771,888

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Solution

The third proportional to 829,064 and 1,771,888 is: 3,786,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,064 : 1,771,888 = 1,771,888 : x
  2. Step 2: Convert to fraction form
    829,064/1,771,888 = 1,771,888/x
  3. Step 3: Cross multiply
    829,064x = 1,771,888 × 1,771,888
  4. Step 4: Simplify right side
    829,064x = 3,139,587,084,544
  5. Step 5: Solve for x
    x = 3,139,587,084,544/829,064
  6. Step 6: Final answer
    x = 3,786,905.58

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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.