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Finding the Third Proportional to 2,086,596 and 4,571,712

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Solution

The third proportional to 2,086,596 and 4,571,712 is: 10,016,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,596 : 4,571,712 = 4,571,712 : x
  2. Step 2: Convert to fraction form
    2,086,596/4,571,712 = 4,571,712/x
  3. Step 3: Cross multiply
    2,086,596x = 4,571,712 × 4,571,712
  4. Step 4: Simplify right side
    2,086,596x = 20,900,550,610,944
  5. Step 5: Solve for x
    x = 20,900,550,610,944/2,086,596
  6. Step 6: Final answer
    x = 10,016,577.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.