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Finding the Third Proportional to 2,693,586 and 5,985,076

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Solution

The third proportional to 2,693,586 and 5,985,076 is: 13,298,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,586 : 5,985,076 = 5,985,076 : x
  2. Step 2: Convert to fraction form
    2,693,586/5,985,076 = 5,985,076/x
  3. Step 3: Cross multiply
    2,693,586x = 5,985,076 × 5,985,076
  4. Step 4: Simplify right side
    2,693,586x = 35,821,134,725,776
  5. Step 5: Solve for x
    x = 35,821,134,725,776/2,693,586
  6. Step 6: Final answer
    x = 13,298,678.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.