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Finding the Third Proportional to 4,611,676 and 6,569,406

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Solution

The third proportional to 4,611,676 and 6,569,406 is: 9,358,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,676 : 6,569,406 = 6,569,406 : x
  2. Step 2: Convert to fraction form
    4,611,676/6,569,406 = 6,569,406/x
  3. Step 3: Cross multiply
    4,611,676x = 6,569,406 × 6,569,406
  4. Step 4: Simplify right side
    4,611,676x = 43,157,095,192,836
  5. Step 5: Solve for x
    x = 43,157,095,192,836/4,611,676
  6. Step 6: Final answer
    x = 9,358,223.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.