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Finding the Third Proportional to 916,096 and 1,953,917

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Solution

The third proportional to 916,096 and 1,953,917 is: 4,167,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,096 : 1,953,917 = 1,953,917 : x
  2. Step 2: Convert to fraction form
    916,096/1,953,917 = 1,953,917/x
  3. Step 3: Cross multiply
    916,096x = 1,953,917 × 1,953,917
  4. Step 4: Simplify right side
    916,096x = 3,817,791,642,889
  5. Step 5: Solve for x
    x = 3,817,791,642,889/916,096
  6. Step 6: Final answer
    x = 4,167,458.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.