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Finding the Third Proportional to 454,123.50 and 1,070,496

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Solution

The third proportional to 454,123.50 and 1,070,496 is: 2,523,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,123.50 : 1,070,496 = 1,070,496 : x
  2. Step 2: Convert to fraction form
    454,123.50/1,070,496 = 1,070,496/x
  3. Step 3: Cross multiply
    454,123.50x = 1,070,496 × 1,070,496
  4. Step 4: Simplify right side
    454,123.50x = 1,145,961,686,016
  5. Step 5: Solve for x
    x = 1,145,961,686,016/454,123.50
  6. Step 6: Final answer
    x = 2,523,458.24

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.