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Finding the Third Proportional to 460,162 and 942,628

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Solution

The third proportional to 460,162 and 942,628 is: 1,930,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,162 : 942,628 = 942,628 : x
  2. Step 2: Convert to fraction form
    460,162/942,628 = 942,628/x
  3. Step 3: Cross multiply
    460,162x = 942,628 × 942,628
  4. Step 4: Simplify right side
    460,162x = 888,547,546,384
  5. Step 5: Solve for x
    x = 888,547,546,384/460,162
  6. Step 6: Final answer
    x = 1,930,945.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.