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Finding the Third Proportional to 653,096 and 1,415,179

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Solution

The third proportional to 653,096 and 1,415,179 is: 3,066,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,096 : 1,415,179 = 1,415,179 : x
  2. Step 2: Convert to fraction form
    653,096/1,415,179 = 1,415,179/x
  3. Step 3: Cross multiply
    653,096x = 1,415,179 × 1,415,179
  4. Step 4: Simplify right side
    653,096x = 2,002,731,602,041
  5. Step 5: Solve for x
    x = 2,002,731,602,041/653,096
  6. Step 6: Final answer
    x = 3,066,519.47

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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.