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Finding the Third Proportional to 945,634.50 and 1,415,110.50

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Solution

The third proportional to 945,634.50 and 1,415,110.50 is: 2,117,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,634.50 : 1,415,110.50 = 1,415,110.50 : x
  2. Step 2: Convert to fraction form
    945,634.50/1,415,110.50 = 1,415,110.50/x
  3. Step 3: Cross multiply
    945,634.50x = 1,415,110.50 × 1,415,110.50
  4. Step 4: Simplify right side
    945,634.50x = 2,002,537,727,210.25
  5. Step 5: Solve for x
    x = 2,002,537,727,210.25/945,634.50
  6. Step 6: Final answer
    x = 2,117,665.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.