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Finding the Third Proportional to 2,145,376.50 and 4,700,451

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Solution

The third proportional to 2,145,376.50 and 4,700,451 is: 10,298,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,376.50 : 4,700,451 = 4,700,451 : x
  2. Step 2: Convert to fraction form
    2,145,376.50/4,700,451 = 4,700,451/x
  3. Step 3: Cross multiply
    2,145,376.50x = 4,700,451 × 4,700,451
  4. Step 4: Simplify right side
    2,145,376.50x = 22,094,239,603,401
  5. Step 5: Solve for x
    x = 22,094,239,603,401/2,145,376.50
  6. Step 6: Final answer
    x = 10,298,537.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.