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Finding the Third Proportional to 960,680.25 and 2,069,813.25

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Solution

The third proportional to 960,680.25 and 2,069,813.25 is: 4,459,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,680.25 : 2,069,813.25 = 2,069,813.25 : x
  2. Step 2: Convert to fraction form
    960,680.25/2,069,813.25 = 2,069,813.25/x
  3. Step 3: Cross multiply
    960,680.25x = 2,069,813.25 × 2,069,813.25
  4. Step 4: Simplify right side
    960,680.25x = 4,284,126,889,875.56
  5. Step 5: Solve for x
    x = 4,284,126,889,875.56/960,680.25
  6. Step 6: Final answer
    x = 4,459,472.22

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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.