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Finding the Third Proportional to 817,560 and 1,775,088

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Solution

The third proportional to 817,560 and 1,775,088 is: 3,854,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,560 : 1,775,088 = 1,775,088 : x
  2. Step 2: Convert to fraction form
    817,560/1,775,088 = 1,775,088/x
  3. Step 3: Cross multiply
    817,560x = 1,775,088 × 1,775,088
  4. Step 4: Simplify right side
    817,560x = 3,150,937,407,744
  5. Step 5: Solve for x
    x = 3,150,937,407,744/817,560
  6. Step 6: Final answer
    x = 3,854,074.82

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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.