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Finding the Third Proportional to 498,550 and 1,081,220

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Solution

The third proportional to 498,550 and 1,081,220 is: 2,344,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,550 : 1,081,220 = 1,081,220 : x
  2. Step 2: Convert to fraction form
    498,550/1,081,220 = 1,081,220/x
  3. Step 3: Cross multiply
    498,550x = 1,081,220 × 1,081,220
  4. Step 4: Simplify right side
    498,550x = 1,169,036,688,400
  5. Step 5: Solve for x
    x = 1,169,036,688,400/498,550
  6. Step 6: Final answer
    x = 2,344,873.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.