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Finding the Third Proportional to 420,648.19 and 912,647.25

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Solution

The third proportional to 420,648.19 and 912,647.25 is: 1,980,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,648.19 : 912,647.25 = 912,647.25 : x
  2. Step 2: Convert to fraction form
    420,648.19/912,647.25 = 912,647.25/x
  3. Step 3: Cross multiply
    420,648.19x = 912,647.25 × 912,647.25
  4. Step 4: Simplify right side
    420,648.19x = 832,925,002,932.56
  5. Step 5: Solve for x
    x = 832,925,002,932.56/420,648.19
  6. Step 6: Final answer
    x = 1,980,098.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.