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Finding the Third Proportional to 514,248 and 1,116,945

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Solution

The third proportional to 514,248 and 1,116,945 is: 2,426,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,248 : 1,116,945 = 1,116,945 : x
  2. Step 2: Convert to fraction form
    514,248/1,116,945 = 1,116,945/x
  3. Step 3: Cross multiply
    514,248x = 1,116,945 × 1,116,945
  4. Step 4: Simplify right side
    514,248x = 1,247,566,133,025
  5. Step 5: Solve for x
    x = 1,247,566,133,025/514,248
  6. Step 6: Final answer
    x = 2,426,000.94

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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.