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Finding the Third Proportional to 2,029,812 and 4,227,549

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Solution

The third proportional to 2,029,812 and 4,227,549 is: 8,804,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,812 : 4,227,549 = 4,227,549 : x
  2. Step 2: Convert to fraction form
    2,029,812/4,227,549 = 4,227,549/x
  3. Step 3: Cross multiply
    2,029,812x = 4,227,549 × 4,227,549
  4. Step 4: Simplify right side
    2,029,812x = 17,872,170,547,401
  5. Step 5: Solve for x
    x = 17,872,170,547,401/2,029,812
  6. Step 6: Final answer
    x = 8,804,840.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.