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Finding the Third Proportional to 4,217,980 and 6,536,706

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Solution

The third proportional to 4,217,980 and 6,536,706 is: 10,130,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,980 : 6,536,706 = 6,536,706 : x
  2. Step 2: Convert to fraction form
    4,217,980/6,536,706 = 6,536,706/x
  3. Step 3: Cross multiply
    4,217,980x = 6,536,706 × 6,536,706
  4. Step 4: Simplify right side
    4,217,980x = 42,728,525,330,436
  5. Step 5: Solve for x
    x = 42,728,525,330,436/4,217,980
  6. Step 6: Final answer
    x = 10,130,091.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.