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Finding the Third Proportional to 2,698,503 and 5,845,410

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Solution

The third proportional to 2,698,503 and 5,845,410 is: 12,662,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,503 : 5,845,410 = 5,845,410 : x
  2. Step 2: Convert to fraction form
    2,698,503/5,845,410 = 5,845,410/x
  3. Step 3: Cross multiply
    2,698,503x = 5,845,410 × 5,845,410
  4. Step 4: Simplify right side
    2,698,503x = 34,168,818,068,100
  5. Step 5: Solve for x
    x = 34,168,818,068,100/2,698,503
  6. Step 6: Final answer
    x = 12,662,138.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.