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Finding the Third Proportional to 3,430,996 and 5,046,678

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Solution

The third proportional to 3,430,996 and 5,046,678 is: 7,423,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,996 : 5,046,678 = 5,046,678 : x
  2. Step 2: Convert to fraction form
    3,430,996/5,046,678 = 5,046,678/x
  3. Step 3: Cross multiply
    3,430,996x = 5,046,678 × 5,046,678
  4. Step 4: Simplify right side
    3,430,996x = 25,468,958,835,684
  5. Step 5: Solve for x
    x = 25,468,958,835,684/3,430,996
  6. Step 6: Final answer
    x = 7,423,196.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.