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Finding the Third Proportional to 807,654 and 1,762,009

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Solution

The third proportional to 807,654 and 1,762,009 is: 3,844,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,654 : 1,762,009 = 1,762,009 : x
  2. Step 2: Convert to fraction form
    807,654/1,762,009 = 1,762,009/x
  3. Step 3: Cross multiply
    807,654x = 1,762,009 × 1,762,009
  4. Step 4: Simplify right side
    807,654x = 3,104,675,716,081
  5. Step 5: Solve for x
    x = 3,104,675,716,081/807,654
  6. Step 6: Final answer
    x = 3,844,066.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.