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Finding the Third Proportional to 4,712,825 and 7,206,309

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Solution

The third proportional to 4,712,825 and 7,206,309 is: 11,019,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,825 : 7,206,309 = 7,206,309 : x
  2. Step 2: Convert to fraction form
    4,712,825/7,206,309 = 7,206,309/x
  3. Step 3: Cross multiply
    4,712,825x = 7,206,309 × 7,206,309
  4. Step 4: Simplify right side
    4,712,825x = 51,930,889,403,481
  5. Step 5: Solve for x
    x = 51,930,889,403,481/4,712,825
  6. Step 6: Final answer
    x = 11,019,057.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.