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Finding the Third Proportional to 709,488 and 1,531,512

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Solution

The third proportional to 709,488 and 1,531,512 is: 3,305,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,488 : 1,531,512 = 1,531,512 : x
  2. Step 2: Convert to fraction form
    709,488/1,531,512 = 1,531,512/x
  3. Step 3: Cross multiply
    709,488x = 1,531,512 × 1,531,512
  4. Step 4: Simplify right side
    709,488x = 2,345,529,006,144
  5. Step 5: Solve for x
    x = 2,345,529,006,144/709,488
  6. Step 6: Final answer
    x = 3,305,945.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.