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Finding the Third Proportional to 814,345 and 1,268,054

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Solution

The third proportional to 814,345 and 1,268,054 is: 1,974,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,345 : 1,268,054 = 1,268,054 : x
  2. Step 2: Convert to fraction form
    814,345/1,268,054 = 1,268,054/x
  3. Step 3: Cross multiply
    814,345x = 1,268,054 × 1,268,054
  4. Step 4: Simplify right side
    814,345x = 1,607,960,946,916
  5. Step 5: Solve for x
    x = 1,607,960,946,916/814,345
  6. Step 6: Final answer
    x = 1,974,545.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.