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Finding the Third Proportional to 2,473,748 and 5,321,458

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Solution

The third proportional to 2,473,748 and 5,321,458 is: 11,447,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,748 : 5,321,458 = 5,321,458 : x
  2. Step 2: Convert to fraction form
    2,473,748/5,321,458 = 5,321,458/x
  3. Step 3: Cross multiply
    2,473,748x = 5,321,458 × 5,321,458
  4. Step 4: Simplify right side
    2,473,748x = 28,317,915,245,764
  5. Step 5: Solve for x
    x = 28,317,915,245,764/2,473,748
  6. Step 6: Final answer
    x = 11,447,372.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.