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Finding the Third Proportional to 4,674,158 and 6,992,561

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Solution

The third proportional to 4,674,158 and 6,992,561 is: 10,460,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,158 : 6,992,561 = 6,992,561 : x
  2. Step 2: Convert to fraction form
    4,674,158/6,992,561 = 6,992,561/x
  3. Step 3: Cross multiply
    4,674,158x = 6,992,561 × 6,992,561
  4. Step 4: Simplify right side
    4,674,158x = 48,895,909,338,721
  5. Step 5: Solve for x
    x = 48,895,909,338,721/4,674,158
  6. Step 6: Final answer
    x = 10,460,902.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.