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Finding the Third Proportional to 1,471,770 and 3,258,306

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Solution

The third proportional to 1,471,770 and 3,258,306 is: 7,213,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,770 : 3,258,306 = 3,258,306 : x
  2. Step 2: Convert to fraction form
    1,471,770/3,258,306 = 3,258,306/x
  3. Step 3: Cross multiply
    1,471,770x = 3,258,306 × 3,258,306
  4. Step 4: Simplify right side
    1,471,770x = 10,616,557,989,636
  5. Step 5: Solve for x
    x = 10,616,557,989,636/1,471,770
  6. Step 6: Final answer
    x = 7,213,462.69

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.