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Finding the Third Proportional to 467,438 and 1,004,705

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Solution

The third proportional to 467,438 and 1,004,705 is: 2,159,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,438 : 1,004,705 = 1,004,705 : x
  2. Step 2: Convert to fraction form
    467,438/1,004,705 = 1,004,705/x
  3. Step 3: Cross multiply
    467,438x = 1,004,705 × 1,004,705
  4. Step 4: Simplify right side
    467,438x = 1,009,432,137,025
  5. Step 5: Solve for x
    x = 1,009,432,137,025/467,438
  6. Step 6: Final answer
    x = 2,159,499.52

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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.