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Finding the Third Proportional to 1,293,132 and 2,827,032

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Solution

The third proportional to 1,293,132 and 2,827,032 is: 6,180,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,132 : 2,827,032 = 2,827,032 : x
  2. Step 2: Convert to fraction form
    1,293,132/2,827,032 = 2,827,032/x
  3. Step 3: Cross multiply
    1,293,132x = 2,827,032 × 2,827,032
  4. Step 4: Simplify right side
    1,293,132x = 7,992,109,929,024
  5. Step 5: Solve for x
    x = 7,992,109,929,024/1,293,132
  6. Step 6: Final answer
    x = 6,180,428.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.