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Finding the Third Proportional to 589,551 and 1,263,207

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Solution

The third proportional to 589,551 and 1,263,207 is: 2,706,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,551 : 1,263,207 = 1,263,207 : x
  2. Step 2: Convert to fraction form
    589,551/1,263,207 = 1,263,207/x
  3. Step 3: Cross multiply
    589,551x = 1,263,207 × 1,263,207
  4. Step 4: Simplify right side
    589,551x = 1,595,691,924,849
  5. Step 5: Solve for x
    x = 1,595,691,924,849/589,551
  6. Step 6: Final answer
    x = 2,706,622.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.