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Finding the Third Proportional to 630,597 and 1,366,171

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Solution

The third proportional to 630,597 and 1,366,171 is: 2,959,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,597 : 1,366,171 = 1,366,171 : x
  2. Step 2: Convert to fraction form
    630,597/1,366,171 = 1,366,171/x
  3. Step 3: Cross multiply
    630,597x = 1,366,171 × 1,366,171
  4. Step 4: Simplify right side
    630,597x = 1,866,423,201,241
  5. Step 5: Solve for x
    x = 1,866,423,201,241/630,597
  6. Step 6: Final answer
    x = 2,959,771.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.