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Finding the Third Proportional to 475,838 and 1,056,652

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Solution

The third proportional to 475,838 and 1,056,652 is: 2,346,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,838 : 1,056,652 = 1,056,652 : x
  2. Step 2: Convert to fraction form
    475,838/1,056,652 = 1,056,652/x
  3. Step 3: Cross multiply
    475,838x = 1,056,652 × 1,056,652
  4. Step 4: Simplify right side
    475,838x = 1,116,513,449,104
  5. Step 5: Solve for x
    x = 1,116,513,449,104/475,838
  6. Step 6: Final answer
    x = 2,346,415.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.