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Finding the Third Proportional to 513,308 and 1,059,136

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Solution

The third proportional to 513,308 and 1,059,136 is: 2,185,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,308 : 1,059,136 = 1,059,136 : x
  2. Step 2: Convert to fraction form
    513,308/1,059,136 = 1,059,136/x
  3. Step 3: Cross multiply
    513,308x = 1,059,136 × 1,059,136
  4. Step 4: Simplify right side
    513,308x = 1,121,769,066,496
  5. Step 5: Solve for x
    x = 1,121,769,066,496/513,308
  6. Step 6: Final answer
    x = 2,185,372.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.