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Finding the Third Proportional to 473,196.94 and 1,012,824

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Solution

The third proportional to 473,196.94 and 1,012,824 is: 2,167,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,196.94 : 1,012,824 = 1,012,824 : x
  2. Step 2: Convert to fraction form
    473,196.94/1,012,824 = 1,012,824/x
  3. Step 3: Cross multiply
    473,196.94x = 1,012,824 × 1,012,824
  4. Step 4: Simplify right side
    473,196.94x = 1,025,812,454,976
  5. Step 5: Solve for x
    x = 1,025,812,454,976/473,196.94
  6. Step 6: Final answer
    x = 2,167,834.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.