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Finding the Third Proportional to 2,564,784 and 4,002,453

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Solution

The third proportional to 2,564,784 and 4,002,453 is: 6,245,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,784 : 4,002,453 = 4,002,453 : x
  2. Step 2: Convert to fraction form
    2,564,784/4,002,453 = 4,002,453/x
  3. Step 3: Cross multiply
    2,564,784x = 4,002,453 × 4,002,453
  4. Step 4: Simplify right side
    2,564,784x = 16,019,630,017,209
  5. Step 5: Solve for x
    x = 16,019,630,017,209/2,564,784
  6. Step 6: Final answer
    x = 6,245,995.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.