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Finding the Third Proportional to 1,496,716 and 3,283,160

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Solution

The third proportional to 1,496,716 and 3,283,160 is: 7,201,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,716 : 3,283,160 = 3,283,160 : x
  2. Step 2: Convert to fraction form
    1,496,716/3,283,160 = 3,283,160/x
  3. Step 3: Cross multiply
    1,496,716x = 3,283,160 × 3,283,160
  4. Step 4: Simplify right side
    1,496,716x = 10,779,139,585,600
  5. Step 5: Solve for x
    x = 10,779,139,585,600/1,496,716
  6. Step 6: Final answer
    x = 7,201,860.33

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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.