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Finding the Third Proportional to 913,528.50 and 2,009,305.50

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Solution

The third proportional to 913,528.50 and 2,009,305.50 is: 4,419,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,528.50 : 2,009,305.50 = 2,009,305.50 : x
  2. Step 2: Convert to fraction form
    913,528.50/2,009,305.50 = 2,009,305.50/x
  3. Step 3: Cross multiply
    913,528.50x = 2,009,305.50 × 2,009,305.50
  4. Step 4: Simplify right side
    913,528.50x = 4,037,308,592,330.25
  5. Step 5: Solve for x
    x = 4,037,308,592,330.25/913,528.50
  6. Step 6: Final answer
    x = 4,419,466.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.