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Finding the Third Proportional to 963,564 and 2,142,564

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Solution

The third proportional to 963,564 and 2,142,564 is: 4,764,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,564 : 2,142,564 = 2,142,564 : x
  2. Step 2: Convert to fraction form
    963,564/2,142,564 = 2,142,564/x
  3. Step 3: Cross multiply
    963,564x = 2,142,564 × 2,142,564
  4. Step 4: Simplify right side
    963,564x = 4,590,580,494,096
  5. Step 5: Solve for x
    x = 4,590,580,494,096/963,564
  6. Step 6: Final answer
    x = 4,764,167.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.