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Finding the Third Proportional to 659,326 and 1,411,964

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Solution

The third proportional to 659,326 and 1,411,964 is: 3,023,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,326 : 1,411,964 = 1,411,964 : x
  2. Step 2: Convert to fraction form
    659,326/1,411,964 = 1,411,964/x
  3. Step 3: Cross multiply
    659,326x = 1,411,964 × 1,411,964
  4. Step 4: Simplify right side
    659,326x = 1,993,642,337,296
  5. Step 5: Solve for x
    x = 1,993,642,337,296/659,326
  6. Step 6: Final answer
    x = 3,023,758.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.