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Finding the Third Proportional to 643,291.88 and 946,226.81

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Solution

The third proportional to 643,291.88 and 946,226.81 is: 1,391,817.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,291.88 : 946,226.81 = 946,226.81 : x
  2. Step 2: Convert to fraction form
    643,291.88/946,226.81 = 946,226.81/x
  3. Step 3: Cross multiply
    643,291.88x = 946,226.81 × 946,226.81
  4. Step 4: Simplify right side
    643,291.88x = 895,345,180,693.91
  5. Step 5: Solve for x
    x = 895,345,180,693.91/643,291.88
  6. Step 6: Final answer
    x = 1,391,817.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.