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Finding the Third Proportional to 699,122 and 1,531,633

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Solution

The third proportional to 699,122 and 1,531,633 is: 3,355,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,122 : 1,531,633 = 1,531,633 : x
  2. Step 2: Convert to fraction form
    699,122/1,531,633 = 1,531,633/x
  3. Step 3: Cross multiply
    699,122x = 1,531,633 × 1,531,633
  4. Step 4: Simplify right side
    699,122x = 2,345,899,646,689
  5. Step 5: Solve for x
    x = 2,345,899,646,689/699,122
  6. Step 6: Final answer
    x = 3,355,493.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.