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Finding the Third Proportional to 2,160,596 and 4,709,968

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Solution

The third proportional to 2,160,596 and 4,709,968 is: 10,267,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,596 : 4,709,968 = 4,709,968 : x
  2. Step 2: Convert to fraction form
    2,160,596/4,709,968 = 4,709,968/x
  3. Step 3: Cross multiply
    2,160,596x = 4,709,968 × 4,709,968
  4. Step 4: Simplify right side
    2,160,596x = 22,183,798,561,024
  5. Step 5: Solve for x
    x = 22,183,798,561,024/2,160,596
  6. Step 6: Final answer
    x = 10,267,444.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.