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Finding the Third Proportional to 1,336,580 and 2,937,796

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Solution

The third proportional to 1,336,580 and 2,937,796 is: 6,457,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,580 : 2,937,796 = 2,937,796 : x
  2. Step 2: Convert to fraction form
    1,336,580/2,937,796 = 2,937,796/x
  3. Step 3: Cross multiply
    1,336,580x = 2,937,796 × 2,937,796
  4. Step 4: Simplify right side
    1,336,580x = 8,630,645,337,616
  5. Step 5: Solve for x
    x = 8,630,645,337,616/1,336,580
  6. Step 6: Final answer
    x = 6,457,260.57

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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.