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Finding the Third Proportional to 964,309 and 2,100,053

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Solution

The third proportional to 964,309 and 2,100,053 is: 4,573,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,309 : 2,100,053 = 2,100,053 : x
  2. Step 2: Convert to fraction form
    964,309/2,100,053 = 2,100,053/x
  3. Step 3: Cross multiply
    964,309x = 2,100,053 × 2,100,053
  4. Step 4: Simplify right side
    964,309x = 4,410,222,602,809
  5. Step 5: Solve for x
    x = 4,410,222,602,809/964,309
  6. Step 6: Final answer
    x = 4,573,453.74

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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.