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Finding the Third Proportional to 2,194,278 and 3,291,417

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Solution

The third proportional to 2,194,278 and 3,291,417 is: 4,937,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,278 : 3,291,417 = 3,291,417 : x
  2. Step 2: Convert to fraction form
    2,194,278/3,291,417 = 3,291,417/x
  3. Step 3: Cross multiply
    2,194,278x = 3,291,417 × 3,291,417
  4. Step 4: Simplify right side
    2,194,278x = 10,833,425,867,889
  5. Step 5: Solve for x
    x = 10,833,425,867,889/2,194,278
  6. Step 6: Final answer
    x = 4,937,125.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.