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Finding the Third Proportional to 2,175,401 and 4,665,730

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Solution

The third proportional to 2,175,401 and 4,665,730 is: 10,006,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,401 : 4,665,730 = 4,665,730 : x
  2. Step 2: Convert to fraction form
    2,175,401/4,665,730 = 4,665,730/x
  3. Step 3: Cross multiply
    2,175,401x = 4,665,730 × 4,665,730
  4. Step 4: Simplify right side
    2,175,401x = 21,769,036,432,900
  5. Step 5: Solve for x
    x = 21,769,036,432,900/2,175,401
  6. Step 6: Final answer
    x = 10,006,907.43

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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.