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Finding the Third Proportional to 471,811.08 and 1,009,744.73

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Solution

The third proportional to 471,811.08 and 1,009,744.73 is: 2,161,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,811.08 : 1,009,744.73 = 1,009,744.73 : x
  2. Step 2: Convert to fraction form
    471,811.08/1,009,744.73 = 1,009,744.73/x
  3. Step 3: Cross multiply
    471,811.08x = 1,009,744.73 × 1,009,744.73
  4. Step 4: Simplify right side
    471,811.08x = 1,019,584,428,598.04
  5. Step 5: Solve for x
    x = 1,019,584,428,598.04/471,811.08
  6. Step 6: Final answer
    x = 2,161,001.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.