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Finding the Third Proportional to 1,034,142 and 2,161,980

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Solution

The third proportional to 1,034,142 and 2,161,980 is: 4,519,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,142 : 2,161,980 = 2,161,980 : x
  2. Step 2: Convert to fraction form
    1,034,142/2,161,980 = 2,161,980/x
  3. Step 3: Cross multiply
    1,034,142x = 2,161,980 × 2,161,980
  4. Step 4: Simplify right side
    1,034,142x = 4,674,157,520,400
  5. Step 5: Solve for x
    x = 4,674,157,520,400/1,034,142
  6. Step 6: Final answer
    x = 4,519,841.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.