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Finding the Third Proportional to 610,364 and 1,325,806

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Solution

The third proportional to 610,364 and 1,325,806 is: 2,879,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,364 : 1,325,806 = 1,325,806 : x
  2. Step 2: Convert to fraction form
    610,364/1,325,806 = 1,325,806/x
  3. Step 3: Cross multiply
    610,364x = 1,325,806 × 1,325,806
  4. Step 4: Simplify right side
    610,364x = 1,757,761,549,636
  5. Step 5: Solve for x
    x = 1,757,761,549,636/610,364
  6. Step 6: Final answer
    x = 2,879,857.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.