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Finding the Third Proportional to 464,775.47 and 985,349.81

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Solution

The third proportional to 464,775.47 and 985,349.81 is: 2,088,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,775.47 : 985,349.81 = 985,349.81 : x
  2. Step 2: Convert to fraction form
    464,775.47/985,349.81 = 985,349.81/x
  3. Step 3: Cross multiply
    464,775.47x = 985,349.81 × 985,349.81
  4. Step 4: Simplify right side
    464,775.47x = 970,914,252,993.79
  5. Step 5: Solve for x
    x = 970,914,252,993.79/464,775.47
  6. Step 6: Final answer
    x = 2,088,996.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.