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Finding the Third Proportional to 2,359,206 and 5,054,562

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Solution

The third proportional to 2,359,206 and 5,054,562 is: 10,829,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,206 : 5,054,562 = 5,054,562 : x
  2. Step 2: Convert to fraction form
    2,359,206/5,054,562 = 5,054,562/x
  3. Step 3: Cross multiply
    2,359,206x = 5,054,562 × 5,054,562
  4. Step 4: Simplify right side
    2,359,206x = 25,548,597,011,844
  5. Step 5: Solve for x
    x = 25,548,597,011,844/2,359,206
  6. Step 6: Final answer
    x = 10,829,320.12

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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.