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Finding the Third Proportional to 521,316 and 1,135,944

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Solution

The third proportional to 521,316 and 1,135,944 is: 2,475,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,316 : 1,135,944 = 1,135,944 : x
  2. Step 2: Convert to fraction form
    521,316/1,135,944 = 1,135,944/x
  3. Step 3: Cross multiply
    521,316x = 1,135,944 × 1,135,944
  4. Step 4: Simplify right side
    521,316x = 1,290,368,771,136
  5. Step 5: Solve for x
    x = 1,290,368,771,136/521,316
  6. Step 6: Final answer
    x = 2,475,214.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.