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Finding the Third Proportional to 709,972 and 1,528,198

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Solution

The third proportional to 709,972 and 1,528,198 is: 3,289,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,972 : 1,528,198 = 1,528,198 : x
  2. Step 2: Convert to fraction form
    709,972/1,528,198 = 1,528,198/x
  3. Step 3: Cross multiply
    709,972x = 1,528,198 × 1,528,198
  4. Step 4: Simplify right side
    709,972x = 2,335,389,127,204
  5. Step 5: Solve for x
    x = 2,335,389,127,204/709,972
  6. Step 6: Final answer
    x = 3,289,410.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.