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Finding the Third Proportional to 1,648,032 and 3,968,894

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Solution

The third proportional to 1,648,032 and 3,968,894 is: 9,558,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,032 : 3,968,894 = 3,968,894 : x
  2. Step 2: Convert to fraction form
    1,648,032/3,968,894 = 3,968,894/x
  3. Step 3: Cross multiply
    1,648,032x = 3,968,894 × 3,968,894
  4. Step 4: Simplify right side
    1,648,032x = 15,752,119,583,236
  5. Step 5: Solve for x
    x = 15,752,119,583,236/1,648,032
  6. Step 6: Final answer
    x = 9,558,139.39

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.