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Finding the Third Proportional to 866,172 and 1,827,132

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Solution

The third proportional to 866,172 and 1,827,132 is: 3,854,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,172 : 1,827,132 = 1,827,132 : x
  2. Step 2: Convert to fraction form
    866,172/1,827,132 = 1,827,132/x
  3. Step 3: Cross multiply
    866,172x = 1,827,132 × 1,827,132
  4. Step 4: Simplify right side
    866,172x = 3,338,411,345,424
  5. Step 5: Solve for x
    x = 3,338,411,345,424/866,172
  6. Step 6: Final answer
    x = 3,854,212.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.