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Finding the Third Proportional to 809,422 and 1,748,511

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Solution

The third proportional to 809,422 and 1,748,511 is: 3,777,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,422 : 1,748,511 = 1,748,511 : x
  2. Step 2: Convert to fraction form
    809,422/1,748,511 = 1,748,511/x
  3. Step 3: Cross multiply
    809,422x = 1,748,511 × 1,748,511
  4. Step 4: Simplify right side
    809,422x = 3,057,290,717,121
  5. Step 5: Solve for x
    x = 3,057,290,717,121/809,422
  6. Step 6: Final answer
    x = 3,777,128.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.