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Finding the Third Proportional to 817,028 and 1,731,208

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Solution

The third proportional to 817,028 and 1,731,208 is: 3,668,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,028 : 1,731,208 = 1,731,208 : x
  2. Step 2: Convert to fraction form
    817,028/1,731,208 = 1,731,208/x
  3. Step 3: Cross multiply
    817,028x = 1,731,208 × 1,731,208
  4. Step 4: Simplify right side
    817,028x = 2,997,081,139,264
  5. Step 5: Solve for x
    x = 2,997,081,139,264/817,028
  6. Step 6: Final answer
    x = 3,668,272.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.