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Finding the Third Proportional to 964,666 and 2,095,400

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Solution

The third proportional to 964,666 and 2,095,400 is: 4,551,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,666 : 2,095,400 = 2,095,400 : x
  2. Step 2: Convert to fraction form
    964,666/2,095,400 = 2,095,400/x
  3. Step 3: Cross multiply
    964,666x = 2,095,400 × 2,095,400
  4. Step 4: Simplify right side
    964,666x = 4,390,701,160,000
  5. Step 5: Solve for x
    x = 4,390,701,160,000/964,666
  6. Step 6: Final answer
    x = 4,551,524.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.