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Finding the Third Proportional to 2,709,440 and 5,971,784

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Solution

The third proportional to 2,709,440 and 5,971,784 is: 13,162,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,440 : 5,971,784 = 5,971,784 : x
  2. Step 2: Convert to fraction form
    2,709,440/5,971,784 = 5,971,784/x
  3. Step 3: Cross multiply
    2,709,440x = 5,971,784 × 5,971,784
  4. Step 4: Simplify right side
    2,709,440x = 35,662,204,142,656
  5. Step 5: Solve for x
    x = 35,662,204,142,656/2,709,440
  6. Step 6: Final answer
    x = 13,162,204.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.