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Finding the Third Proportional to 968,123 and 2,104,159

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Solution

The third proportional to 968,123 and 2,104,159 is: 4,573,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,123 : 2,104,159 = 2,104,159 : x
  2. Step 2: Convert to fraction form
    968,123/2,104,159 = 2,104,159/x
  3. Step 3: Cross multiply
    968,123x = 2,104,159 × 2,104,159
  4. Step 4: Simplify right side
    968,123x = 4,427,485,097,281
  5. Step 5: Solve for x
    x = 4,427,485,097,281/968,123
  6. Step 6: Final answer
    x = 4,573,267.13

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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.