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Finding the Third Proportional to 964,536 and 2,166,288

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Solution

The third proportional to 964,536 and 2,166,288 is: 4,865,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,536 : 2,166,288 = 2,166,288 : x
  2. Step 2: Convert to fraction form
    964,536/2,166,288 = 2,166,288/x
  3. Step 3: Cross multiply
    964,536x = 2,166,288 × 2,166,288
  4. Step 4: Simplify right side
    964,536x = 4,692,803,698,944
  5. Step 5: Solve for x
    x = 4,692,803,698,944/964,536
  6. Step 6: Final answer
    x = 4,865,348.42

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.