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Finding the Third Proportional to 832,967 and 1,771,034

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Solution

The third proportional to 832,967 and 1,771,034 is: 3,765,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,967 : 1,771,034 = 1,771,034 : x
  2. Step 2: Convert to fraction form
    832,967/1,771,034 = 1,771,034/x
  3. Step 3: Cross multiply
    832,967x = 1,771,034 × 1,771,034
  4. Step 4: Simplify right side
    832,967x = 3,136,561,429,156
  5. Step 5: Solve for x
    x = 3,136,561,429,156/832,967
  6. Step 6: Final answer
    x = 3,765,529.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.