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Finding the Third Proportional to 467,802 and 1,014,275.25

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Solution

The third proportional to 467,802 and 1,014,275.25 is: 2,199,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,802 : 1,014,275.25 = 1,014,275.25 : x
  2. Step 2: Convert to fraction form
    467,802/1,014,275.25 = 1,014,275.25/x
  3. Step 3: Cross multiply
    467,802x = 1,014,275.25 × 1,014,275.25
  4. Step 4: Simplify right side
    467,802x = 1,028,754,282,762.56
  5. Step 5: Solve for x
    x = 1,028,754,282,762.56/467,802
  6. Step 6: Final answer
    x = 2,199,123.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.