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Finding the Third Proportional to 498,582 and 1,056,980

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Solution

The third proportional to 498,582 and 1,056,980 is: 2,240,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,582 : 1,056,980 = 1,056,980 : x
  2. Step 2: Convert to fraction form
    498,582/1,056,980 = 1,056,980/x
  3. Step 3: Cross multiply
    498,582x = 1,056,980 × 1,056,980
  4. Step 4: Simplify right side
    498,582x = 1,117,206,720,400
  5. Step 5: Solve for x
    x = 1,117,206,720,400/498,582
  6. Step 6: Final answer
    x = 2,240,768.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.