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Finding the Third Proportional to 2,119,740 and 4,598,559

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Solution

The third proportional to 2,119,740 and 4,598,559 is: 9,976,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,740 : 4,598,559 = 4,598,559 : x
  2. Step 2: Convert to fraction form
    2,119,740/4,598,559 = 4,598,559/x
  3. Step 3: Cross multiply
    2,119,740x = 4,598,559 × 4,598,559
  4. Step 4: Simplify right side
    2,119,740x = 21,146,744,876,481
  5. Step 5: Solve for x
    x = 21,146,744,876,481/2,119,740
  6. Step 6: Final answer
    x = 9,976,103.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.