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Finding the Third Proportional to 610,758 and 1,311,804

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Solution

The third proportional to 610,758 and 1,311,804 is: 2,817,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,758 : 1,311,804 = 1,311,804 : x
  2. Step 2: Convert to fraction form
    610,758/1,311,804 = 1,311,804/x
  3. Step 3: Cross multiply
    610,758x = 1,311,804 × 1,311,804
  4. Step 4: Simplify right side
    610,758x = 1,720,829,734,416
  5. Step 5: Solve for x
    x = 1,720,829,734,416/610,758
  6. Step 6: Final answer
    x = 2,817,531.22

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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.