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Finding the Third Proportional to 3,457,770 and 5,234,391

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Solution

The third proportional to 3,457,770 and 5,234,391 is: 7,923,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,770 : 5,234,391 = 5,234,391 : x
  2. Step 2: Convert to fraction form
    3,457,770/5,234,391 = 5,234,391/x
  3. Step 3: Cross multiply
    3,457,770x = 5,234,391 × 5,234,391
  4. Step 4: Simplify right side
    3,457,770x = 27,398,849,140,881
  5. Step 5: Solve for x
    x = 27,398,849,140,881/3,457,770
  6. Step 6: Final answer
    x = 7,923,849.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.