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Finding the Third Proportional to 2,143,784 and 4,598,399

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Solution

The third proportional to 2,143,784 and 4,598,399 is: 9,863,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,784 : 4,598,399 = 4,598,399 : x
  2. Step 2: Convert to fraction form
    2,143,784/4,598,399 = 4,598,399/x
  3. Step 3: Cross multiply
    2,143,784x = 4,598,399 × 4,598,399
  4. Step 4: Simplify right side
    2,143,784x = 21,145,273,363,201
  5. Step 5: Solve for x
    x = 21,145,273,363,201/2,143,784
  6. Step 6: Final answer
    x = 9,863,527.93

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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.