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Finding the Third Proportional to 2,924,400 and 6,413,736

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Solution

The third proportional to 2,924,400 and 6,413,736 is: 14,066,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,400 : 6,413,736 = 6,413,736 : x
  2. Step 2: Convert to fraction form
    2,924,400/6,413,736 = 6,413,736/x
  3. Step 3: Cross multiply
    2,924,400x = 6,413,736 × 6,413,736
  4. Step 4: Simplify right side
    2,924,400x = 41,136,009,477,696
  5. Step 5: Solve for x
    x = 41,136,009,477,696/2,924,400
  6. Step 6: Final answer
    x = 14,066,478.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.