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Finding the Third Proportional to 480,340.13 and 1,034,906.63

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Solution

The third proportional to 480,340.13 and 1,034,906.63 is: 2,229,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,340.13 : 1,034,906.63 = 1,034,906.63 : x
  2. Step 2: Convert to fraction form
    480,340.13/1,034,906.63 = 1,034,906.63/x
  3. Step 3: Cross multiply
    480,340.13x = 1,034,906.63 × 1,034,906.63
  4. Step 4: Simplify right side
    480,340.13x = 1,071,031,722,468.89
  5. Step 5: Solve for x
    x = 1,071,031,722,468.89/480,340.13
  6. Step 6: Final answer
    x = 2,229,736.11

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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.