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Finding the Third Proportional to 1,503,897.89 and 3,131,725.78

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Solution

The third proportional to 1,503,897.89 and 3,131,725.78 is: 6,521,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,897.89 : 3,131,725.78 = 3,131,725.78 : x
  2. Step 2: Convert to fraction form
    1,503,897.89/3,131,725.78 = 3,131,725.78/x
  3. Step 3: Cross multiply
    1,503,897.89x = 3,131,725.78 × 3,131,725.78
  4. Step 4: Simplify right side
    1,503,897.89x = 9,807,706,368,945.92
  5. Step 5: Solve for x
    x = 9,807,706,368,945.92/1,503,897.89
  6. Step 6: Final answer
    x = 6,521,524.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.