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Finding the Third Proportional to 2,802,390 and 6,034,581

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Solution

The third proportional to 2,802,390 and 6,034,581 is: 12,994,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802,390 : 6,034,581 = 6,034,581 : x
  2. Step 2: Convert to fraction form
    2,802,390/6,034,581 = 6,034,581/x
  3. Step 3: Cross multiply
    2,802,390x = 6,034,581 × 6,034,581
  4. Step 4: Simplify right side
    2,802,390x = 36,416,167,845,561
  5. Step 5: Solve for x
    x = 36,416,167,845,561/2,802,390
  6. Step 6: Final answer
    x = 12,994,682.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.