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Finding the Third Proportional to 1,159,960 and 2,459,184

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Solution

The third proportional to 1,159,960 and 2,459,184 is: 5,213,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,960 : 2,459,184 = 2,459,184 : x
  2. Step 2: Convert to fraction form
    1,159,960/2,459,184 = 2,459,184/x
  3. Step 3: Cross multiply
    1,159,960x = 2,459,184 × 2,459,184
  4. Step 4: Simplify right side
    1,159,960x = 6,047,585,945,856
  5. Step 5: Solve for x
    x = 6,047,585,945,856/1,159,960
  6. Step 6: Final answer
    x = 5,213,615.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.