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Finding the Third Proportional to 5,201,205 and 6,901,443

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Solution

The third proportional to 5,201,205 and 6,901,443 is: 9,157,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,205 : 6,901,443 = 6,901,443 : x
  2. Step 2: Convert to fraction form
    5,201,205/6,901,443 = 6,901,443/x
  3. Step 3: Cross multiply
    5,201,205x = 6,901,443 × 6,901,443
  4. Step 4: Simplify right side
    5,201,205x = 47,629,915,482,249
  5. Step 5: Solve for x
    x = 47,629,915,482,249/5,201,205
  6. Step 6: Final answer
    x = 9,157,477.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.