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Finding the Third Proportional to 2,998,522.13 and 4,385,323.13

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Solution

The third proportional to 2,998,522.13 and 4,385,323.13 is: 6,413,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,522.13 : 4,385,323.13 = 4,385,323.13 : x
  2. Step 2: Convert to fraction form
    2,998,522.13/4,385,323.13 = 4,385,323.13/x
  3. Step 3: Cross multiply
    2,998,522.13x = 4,385,323.13 × 4,385,323.13
  4. Step 4: Simplify right side
    2,998,522.13x = 19,231,058,910,659.77
  5. Step 5: Solve for x
    x = 19,231,058,910,659.77/2,998,522.13
  6. Step 6: Final answer
    x = 6,413,512.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.