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Finding the Third Proportional to 869,009 and 1,272,404

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Solution

The third proportional to 869,009 and 1,272,404 is: 1,863,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,009 : 1,272,404 = 1,272,404 : x
  2. Step 2: Convert to fraction form
    869,009/1,272,404 = 1,272,404/x
  3. Step 3: Cross multiply
    869,009x = 1,272,404 × 1,272,404
  4. Step 4: Simplify right side
    869,009x = 1,619,011,939,216
  5. Step 5: Solve for x
    x = 1,619,011,939,216/869,009
  6. Step 6: Final answer
    x = 1,863,055.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.