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Finding the Third Proportional to 1,139,590 and 2,431,724

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Solution

The third proportional to 1,139,590 and 2,431,724 is: 5,188,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,590 : 2,431,724 = 2,431,724 : x
  2. Step 2: Convert to fraction form
    1,139,590/2,431,724 = 2,431,724/x
  3. Step 3: Cross multiply
    1,139,590x = 2,431,724 × 2,431,724
  4. Step 4: Simplify right side
    1,139,590x = 5,913,281,612,176
  5. Step 5: Solve for x
    x = 5,913,281,612,176/1,139,590
  6. Step 6: Final answer
    x = 5,188,955.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.