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Finding the Third Proportional to 1,496,718 and 3,283,164

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Solution

The third proportional to 1,496,718 and 3,283,164 is: 7,201,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,718 : 3,283,164 = 3,283,164 : x
  2. Step 2: Convert to fraction form
    1,496,718/3,283,164 = 3,283,164/x
  3. Step 3: Cross multiply
    1,496,718x = 3,283,164 × 3,283,164
  4. Step 4: Simplify right side
    1,496,718x = 10,779,165,850,896
  5. Step 5: Solve for x
    x = 10,779,165,850,896/1,496,718
  6. Step 6: Final answer
    x = 7,201,868.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.