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Finding the Third Proportional to 964,368 and 2,100,123

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Solution

The third proportional to 964,368 and 2,100,123 is: 4,573,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,368 : 2,100,123 = 2,100,123 : x
  2. Step 2: Convert to fraction form
    964,368/2,100,123 = 2,100,123/x
  3. Step 3: Cross multiply
    964,368x = 2,100,123 × 2,100,123
  4. Step 4: Simplify right side
    964,368x = 4,410,516,615,129
  5. Step 5: Solve for x
    x = 4,410,516,615,129/964,368
  6. Step 6: Final answer
    x = 4,573,478.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.