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Finding the Third Proportional to 4,665,040 and 6,961,566

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Solution

The third proportional to 4,665,040 and 6,961,566 is: 10,388,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,040 : 6,961,566 = 6,961,566 : x
  2. Step 2: Convert to fraction form
    4,665,040/6,961,566 = 6,961,566/x
  3. Step 3: Cross multiply
    4,665,040x = 6,961,566 × 6,961,566
  4. Step 4: Simplify right side
    4,665,040x = 48,463,401,172,356
  5. Step 5: Solve for x
    x = 48,463,401,172,356/4,665,040
  6. Step 6: Final answer
    x = 10,388,635.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.