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Finding the Third Proportional to 519,530 and 1,119,316

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Solution

The third proportional to 519,530 and 1,119,316 is: 2,411,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,530 : 1,119,316 = 1,119,316 : x
  2. Step 2: Convert to fraction form
    519,530/1,119,316 = 1,119,316/x
  3. Step 3: Cross multiply
    519,530x = 1,119,316 × 1,119,316
  4. Step 4: Simplify right side
    519,530x = 1,252,868,307,856
  5. Step 5: Solve for x
    x = 1,252,868,307,856/519,530
  6. Step 6: Final answer
    x = 2,411,541.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.