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Finding the Third Proportional to 3,437,834 and 7,285,465

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Solution

The third proportional to 3,437,834 and 7,285,465 is: 15,439,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,834 : 7,285,465 = 7,285,465 : x
  2. Step 2: Convert to fraction form
    3,437,834/7,285,465 = 7,285,465/x
  3. Step 3: Cross multiply
    3,437,834x = 7,285,465 × 7,285,465
  4. Step 4: Simplify right side
    3,437,834x = 53,078,000,266,225
  5. Step 5: Solve for x
    x = 53,078,000,266,225/3,437,834
  6. Step 6: Final answer
    x = 15,439,372.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.