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Finding the Third Proportional to 1,034,080.50 and 2,234,184

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Solution

The third proportional to 1,034,080.50 and 2,234,184 is: 4,827,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,080.50 : 2,234,184 = 2,234,184 : x
  2. Step 2: Convert to fraction form
    1,034,080.50/2,234,184 = 2,234,184/x
  3. Step 3: Cross multiply
    1,034,080.50x = 2,234,184 × 2,234,184
  4. Step 4: Simplify right side
    1,034,080.50x = 4,991,578,145,856
  5. Step 5: Solve for x
    x = 4,991,578,145,856/1,034,080.50
  6. Step 6: Final answer
    x = 4,827,069.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.