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Finding the Third Proportional to 1,496,164 and 2,369,503

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Solution

The third proportional to 1,496,164 and 2,369,503 is: 3,752,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,164 : 2,369,503 = 2,369,503 : x
  2. Step 2: Convert to fraction form
    1,496,164/2,369,503 = 2,369,503/x
  3. Step 3: Cross multiply
    1,496,164x = 2,369,503 × 2,369,503
  4. Step 4: Simplify right side
    1,496,164x = 5,614,544,467,009
  5. Step 5: Solve for x
    x = 5,614,544,467,009/1,496,164
  6. Step 6: Final answer
    x = 3,752,626.36

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.