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Finding the Third Proportional to 601,840 and 1,297,696

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Solution

The third proportional to 601,840 and 1,297,696 is: 2,798,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,840 : 1,297,696 = 1,297,696 : x
  2. Step 2: Convert to fraction form
    601,840/1,297,696 = 1,297,696/x
  3. Step 3: Cross multiply
    601,840x = 1,297,696 × 1,297,696
  4. Step 4: Simplify right side
    601,840x = 1,684,014,908,416
  5. Step 5: Solve for x
    x = 1,684,014,908,416/601,840
  6. Step 6: Final answer
    x = 2,798,110.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.