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Finding the Third Proportional to 3,615,461 and 5,460,245

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Solution

The third proportional to 3,615,461 and 5,460,245 is: 8,246,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,461 : 5,460,245 = 5,460,245 : x
  2. Step 2: Convert to fraction form
    3,615,461/5,460,245 = 5,460,245/x
  3. Step 3: Cross multiply
    3,615,461x = 5,460,245 × 5,460,245
  4. Step 4: Simplify right side
    3,615,461x = 29,814,275,460,025
  5. Step 5: Solve for x
    x = 29,814,275,460,025/3,615,461
  6. Step 6: Final answer
    x = 8,246,327.50

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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.