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Finding the Third Proportional to 965,563.35 and 1,460,773.62

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Solution

The third proportional to 965,563.35 and 1,460,773.62 is: 2,209,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,563.35 : 1,460,773.62 = 1,460,773.62 : x
  2. Step 2: Convert to fraction form
    965,563.35/1,460,773.62 = 1,460,773.62/x
  3. Step 3: Cross multiply
    965,563.35x = 1,460,773.62 × 1,460,773.62
  4. Step 4: Simplify right side
    965,563.35x = 2,133,859,560,671.05
  5. Step 5: Solve for x
    x = 2,133,859,560,671.05/965,563.35
  6. Step 6: Final answer
    x = 2,209,963.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.