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Finding the Third Proportional to 1,006,158 and 2,128,524

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Solution

The third proportional to 1,006,158 and 2,128,524 is: 4,502,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,158 : 2,128,524 = 2,128,524 : x
  2. Step 2: Convert to fraction form
    1,006,158/2,128,524 = 2,128,524/x
  3. Step 3: Cross multiply
    1,006,158x = 2,128,524 × 2,128,524
  4. Step 4: Simplify right side
    1,006,158x = 4,530,614,418,576
  5. Step 5: Solve for x
    x = 4,530,614,418,576/1,006,158
  6. Step 6: Final answer
    x = 4,502,885.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.