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Finding the Third Proportional to 969,829 and 2,107,531

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Solution

The third proportional to 969,829 and 2,107,531 is: 4,579,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,829 : 2,107,531 = 2,107,531 : x
  2. Step 2: Convert to fraction form
    969,829/2,107,531 = 2,107,531/x
  3. Step 3: Cross multiply
    969,829x = 2,107,531 × 2,107,531
  4. Step 4: Simplify right side
    969,829x = 4,441,686,915,961
  5. Step 5: Solve for x
    x = 4,441,686,915,961/969,829
  6. Step 6: Final answer
    x = 4,579,866.05

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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.