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Finding the Third Proportional to 1,533,796 and 3,289,640

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Solution

The third proportional to 1,533,796 and 3,289,640 is: 7,055,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,796 : 3,289,640 = 3,289,640 : x
  2. Step 2: Convert to fraction form
    1,533,796/3,289,640 = 3,289,640/x
  3. Step 3: Cross multiply
    1,533,796x = 3,289,640 × 3,289,640
  4. Step 4: Simplify right side
    1,533,796x = 10,821,731,329,600
  5. Step 5: Solve for x
    x = 10,821,731,329,600/1,533,796
  6. Step 6: Final answer
    x = 7,055,521.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.