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Finding the Third Proportional to 949,905 and 1,468,960.50

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Solution

The third proportional to 949,905 and 1,468,960.50 is: 2,271,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,905 : 1,468,960.50 = 1,468,960.50 : x
  2. Step 2: Convert to fraction form
    949,905/1,468,960.50 = 1,468,960.50/x
  3. Step 3: Cross multiply
    949,905x = 1,468,960.50 × 1,468,960.50
  4. Step 4: Simplify right side
    949,905x = 2,157,844,950,560.25
  5. Step 5: Solve for x
    x = 2,157,844,950,560.25/949,905
  6. Step 6: Final answer
    x = 2,271,642.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.