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Finding the Third Proportional to 869,896 and 1,225,004

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Solution

The third proportional to 869,896 and 1,225,004 is: 1,725,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,896 : 1,225,004 = 1,225,004 : x
  2. Step 2: Convert to fraction form
    869,896/1,225,004 = 1,225,004/x
  3. Step 3: Cross multiply
    869,896x = 1,225,004 × 1,225,004
  4. Step 4: Simplify right side
    869,896x = 1,500,634,800,016
  5. Step 5: Solve for x
    x = 1,500,634,800,016/869,896
  6. Step 6: Final answer
    x = 1,725,073.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.