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Finding the Third Proportional to 1,014,712 and 2,186,404

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Solution

The third proportional to 1,014,712 and 2,186,404 is: 4,711,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,712 : 2,186,404 = 2,186,404 : x
  2. Step 2: Convert to fraction form
    1,014,712/2,186,404 = 2,186,404/x
  3. Step 3: Cross multiply
    1,014,712x = 2,186,404 × 2,186,404
  4. Step 4: Simplify right side
    1,014,712x = 4,780,362,451,216
  5. Step 5: Solve for x
    x = 4,780,362,451,216/1,014,712
  6. Step 6: Final answer
    x = 4,711,053.43

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