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Finding the Third Proportional to 4,477,966 and 6,709,906

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Solution

The third proportional to 4,477,966 and 6,709,906 is: 10,054,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,966 : 6,709,906 = 6,709,906 : x
  2. Step 2: Convert to fraction form
    4,477,966/6,709,906 = 6,709,906/x
  3. Step 3: Cross multiply
    4,477,966x = 6,709,906 × 6,709,906
  4. Step 4: Simplify right side
    4,477,966x = 45,022,838,528,836
  5. Step 5: Solve for x
    x = 45,022,838,528,836/4,477,966
  6. Step 6: Final answer
    x = 10,054,305.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.