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Finding the Third Proportional to 4,026,201 and 6,097,940

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Solution

The third proportional to 4,026,201 and 6,097,940 is: 9,235,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026,201 : 6,097,940 = 6,097,940 : x
  2. Step 2: Convert to fraction form
    4,026,201/6,097,940 = 6,097,940/x
  3. Step 3: Cross multiply
    4,026,201x = 6,097,940 × 6,097,940
  4. Step 4: Simplify right side
    4,026,201x = 37,184,872,243,600
  5. Step 5: Solve for x
    x = 37,184,872,243,600/4,026,201
  6. Step 6: Final answer
    x = 9,235,721.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.