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Finding the Third Proportional to 4,459,326 and 6,832,791

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Solution

The third proportional to 4,459,326 and 6,832,791 is: 10,469,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459,326 : 6,832,791 = 6,832,791 : x
  2. Step 2: Convert to fraction form
    4,459,326/6,832,791 = 6,832,791/x
  3. Step 3: Cross multiply
    4,459,326x = 6,832,791 × 6,832,791
  4. Step 4: Simplify right side
    4,459,326x = 46,687,032,849,681
  5. Step 5: Solve for x
    x = 46,687,032,849,681/4,459,326
  6. Step 6: Final answer
    x = 10,469,526.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.