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Finding the Third Proportional to 1,010,566 and 2,161,156

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Solution

The third proportional to 1,010,566 and 2,161,156 is: 4,621,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,566 : 2,161,156 = 2,161,156 : x
  2. Step 2: Convert to fraction form
    1,010,566/2,161,156 = 2,161,156/x
  3. Step 3: Cross multiply
    1,010,566x = 2,161,156 × 2,161,156
  4. Step 4: Simplify right side
    1,010,566x = 4,670,595,256,336
  5. Step 5: Solve for x
    x = 4,670,595,256,336/1,010,566
  6. Step 6: Final answer
    x = 4,621,761.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.