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Finding the Third Proportional to 468,232 and 1,027,602

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Solution

The third proportional to 468,232 and 1,027,602 is: 2,255,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,232 : 1,027,602 = 1,027,602 : x
  2. Step 2: Convert to fraction form
    468,232/1,027,602 = 1,027,602/x
  3. Step 3: Cross multiply
    468,232x = 1,027,602 × 1,027,602
  4. Step 4: Simplify right side
    468,232x = 1,055,965,870,404
  5. Step 5: Solve for x
    x = 1,055,965,870,404/468,232
  6. Step 6: Final answer
    x = 2,255,219.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.