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Finding the Third Proportional to 1,654,012 and 3,561,452

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Solution

The third proportional to 1,654,012 and 3,561,452 is: 7,668,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,012 : 3,561,452 = 3,561,452 : x
  2. Step 2: Convert to fraction form
    1,654,012/3,561,452 = 3,561,452/x
  3. Step 3: Cross multiply
    1,654,012x = 3,561,452 × 3,561,452
  4. Step 4: Simplify right side
    1,654,012x = 12,683,940,348,304
  5. Step 5: Solve for x
    x = 12,683,940,348,304/1,654,012
  6. Step 6: Final answer
    x = 7,668,590.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.