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Finding the Third Proportional to 474,744 and 1,024,393.50

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Solution

The third proportional to 474,744 and 1,024,393.50 is: 2,210,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,744 : 1,024,393.50 = 1,024,393.50 : x
  2. Step 2: Convert to fraction form
    474,744/1,024,393.50 = 1,024,393.50/x
  3. Step 3: Cross multiply
    474,744x = 1,024,393.50 × 1,024,393.50
  4. Step 4: Simplify right side
    474,744x = 1,049,382,042,842.25
  5. Step 5: Solve for x
    x = 1,049,382,042,842.25/474,744
  6. Step 6: Final answer
    x = 2,210,416.65

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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.