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Finding the Third Proportional to 469,357.50 and 1,009,473.75

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Solution

The third proportional to 469,357.50 and 1,009,473.75 is: 2,171,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,357.50 : 1,009,473.75 = 1,009,473.75 : x
  2. Step 2: Convert to fraction form
    469,357.50/1,009,473.75 = 1,009,473.75/x
  3. Step 3: Cross multiply
    469,357.50x = 1,009,473.75 × 1,009,473.75
  4. Step 4: Simplify right side
    469,357.50x = 1,019,037,251,939.06
  5. Step 5: Solve for x
    x = 1,019,037,251,939.06/469,357.50
  6. Step 6: Final answer
    x = 2,171,132.35

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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.