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Finding the Third Proportional to 553,546 and 903,896

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Solution

The third proportional to 553,546 and 903,896 is: 1,475,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,546 : 903,896 = 903,896 : x
  2. Step 2: Convert to fraction form
    553,546/903,896 = 903,896/x
  3. Step 3: Cross multiply
    553,546x = 903,896 × 903,896
  4. Step 4: Simplify right side
    553,546x = 817,027,978,816
  5. Step 5: Solve for x
    x = 817,027,978,816/553,546
  6. Step 6: Final answer
    x = 1,475,989.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.