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Finding the Third Proportional to 1,207,206 and 2,513,583

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Solution

The third proportional to 1,207,206 and 2,513,583 is: 5,233,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,206 : 2,513,583 = 2,513,583 : x
  2. Step 2: Convert to fraction form
    1,207,206/2,513,583 = 2,513,583/x
  3. Step 3: Cross multiply
    1,207,206x = 2,513,583 × 2,513,583
  4. Step 4: Simplify right side
    1,207,206x = 6,318,099,497,889
  5. Step 5: Solve for x
    x = 6,318,099,497,889/1,207,206
  6. Step 6: Final answer
    x = 5,233,654.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.