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Finding the Third Proportional to 467,065 and 1,005,764

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Solution

The third proportional to 467,065 and 1,005,764 is: 2,165,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,065 : 1,005,764 = 1,005,764 : x
  2. Step 2: Convert to fraction form
    467,065/1,005,764 = 1,005,764/x
  3. Step 3: Cross multiply
    467,065x = 1,005,764 × 1,005,764
  4. Step 4: Simplify right side
    467,065x = 1,011,561,223,696
  5. Step 5: Solve for x
    x = 1,011,561,223,696/467,065
  6. Step 6: Final answer
    x = 2,165,782.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.